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1201211020100 = 2252713139949649
BaseRepresentation
bin10001011110101101110…
…000011001001101000100
311020211112110110022020202
4101132231300121031010
5124140040010120400
62315455000550032
7152533062126620
oct21365560311504
94224473408222
101201211020100
1142348133a453
12174977182318
138937346a150
14421d32c6180
15213a61a14d5
hex117adc19344

1201211020100 has 144 divisors (see below), whose sum is σ = 3231241104000. Its totient is φ = 377428101120.

The previous prime is 1201211020069. The next prime is 1201211020109. The reversal of 1201211020100 is 10201121021.

It is not an unprimeable number, because it can be changed into a prime (1201211020109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 790076 + ... + 1739724.

Almost surely, 21201211020100 is an apocalyptic number.

1201211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1201211020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1615620552000).

1201211020100 is an abundant number, since it is smaller than the sum of its proper divisors (2030030083900).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1201211020100 is a wasteful number, since it uses less digits than its factorization.

1201211020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949822 (or 949815 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1201211020100 its reverse (10201121021), we get a palindrome (1211412141121).

The spelling of 1201211020100 in words is "one trillion, two hundred one billion, two hundred eleven million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 139 140 175 182 260 278 325 350 364 455 556 650 695 700 910 973 1300 1390 1807 1820 1946 2275 2780 3475 3614 3892 4550 4865 6950 7228 9035 9100 9730 12649 13900 18070 19460 24325 25298 36140 45175 48650 50596 63245 90350 97300 126490 180700 252980 316225 632450 949649 1264900 1899298 3798596 4748245 6647543 9496490 12345437 13295086 18992980 23741225 24690874 26590172 33237715 47482450 49381748 61727185 66475430 86418059 94964900 123454370 132001211 132950860 166188575 172836118 246908740 264002422 308635925 332377150 345672236 432090295 528004844 617271850 660006055 664754300 864180590 924008477 1234543700 1320012110 1716015743 1728361180 1848016954 2160451475 2640024220 3300030275 3432031486 3696033908 4320902950 4620042385 6600060550 6864062972 8580078715 8641805900 9240084770 12012110201 13200121100 17160157430 18480169540 23100211925 24024220402 34320314860 42900393575 46200423850 48048440804 60060551005 85800787150 92400847700 120121102010 171601574300 240242204020 300302755025 600605510050 1201211020100