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1010201102100 = 2232527391518871
BaseRepresentation
bin11101011001101001010…
…11011000011100010100
310120120111122121002211100
432230310223120130110
5113022342440231400
62052025135310100
7132661503455331
oct16546453303424
93516448532740
101010201102100
1135a473205993
1214394a37b330
1374352837b28
1436c73197988
151b4270ea100
hexeb34ad8714

1010201102100 has 108 divisors (see below), whose sum is σ = 3170706054880. Its totient is φ = 269022254400.

The previous prime is 1010201102089. The next prime is 1010201102143. The reversal of 1010201102100 is 12011020101.

It is a happy number.

1010201102100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 94336 + ... + 1424535.

Almost surely, 21010201102100 is an apocalyptic number.

1010201102100 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 1010201102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585353027440).

1010201102100 is an abundant number, since it is smaller than the sum of its proper divisors (2160504952780).

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

1010201102100 is a wasteful number, since it uses less digits than its factorization.

1010201102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519630 (or 1519620 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1010201102100 its reverse (12011020101), we get a palindrome (1022212122201).

The spelling of 1010201102100 in words is "one trillion, ten billion, two hundred one million, one hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 739 900 1478 2217 2956 3695 4434 6651 7390 8868 11085 13302 14780 18475 22170 26604 33255 36950 44340 55425 66510 73900 110850 133020 166275 221700 332550 665100 1518871 3037742 4556613 6075484 7594355 9113226 13669839 15188710 18226452 22783065 27339678 30377420 37971775 45566130 54679356 68349195 75943550 91132260 113915325 136698390 151887100 227830650 273396780 341745975 455661300 683491950 1122445669 1366983900 2244891338 3367337007 4489782676 5612228345 6734674014 10102011021 11224456690 13469348028 16836685035 20204022042 22448913380 28061141725 33673370070 40408044084 50510055105 56122283450 67346740140 84183425175 101020110210 112244566900 168366850350 202040220420 252550275525 336733700700 505100551050 1010201102100