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1201102212100 = 2252717195312261
BaseRepresentation
bin10001011110100111010…
…001010100110000000100
311020211020212201021201211
4101132213101110300010
5124134324131241400
62315440112501204
7152530301231260
oct21364721246004
94224225637654
101201102212100
1142342598238a
1217494684a804
1389356a6150b
14421c2a810a0
152139b85bdba
hex117a7454c04

1201102212100 has 144 divisors (see below), whose sum is σ = 3319951259520. Its totient is φ = 367183411200.

The previous prime is 1201102212073. The next prime is 1201102212131. The reversal of 1201102212100 is 12122011021.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2430031 + ... + 2882230.

It is an arithmetic number, because the mean of its divisors is an integer number (23055217080).

Almost surely, 21201102212100 is an apocalyptic number.

1201102212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1201102212100 is an abundant number, since it is smaller than the sum of its proper divisors (2118849047420).

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

1201102212100 is a wasteful number, since it uses less digits than its factorization.

1201102212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5312318 (or 5312311 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1201102212100 its reverse (12122011021), we get a palindrome (1213224223121).

The spelling of 1201102212100 in words is "one trillion, two hundred one billion, one hundred two million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 17 19 20 25 28 34 35 38 50 68 70 76 85 95 100 119 133 140 170 175 190 238 266 323 340 350 380 425 475 476 532 595 646 665 700 850 950 1190 1292 1330 1615 1700 1900 2261 2380 2660 2975 3230 3325 4522 5950 6460 6650 8075 9044 11305 11900 13300 16150 22610 32300 45220 56525 113050 226100 5312261 10624522 21249044 26561305 37185827 53122610 74371654 90308437 100932959 106245220 132806525 148743308 180616874 185929135 201865918 265613050 361233748 371858270 403731836 451542185 504664795 531226100 632159059 706530713 743716540 903084370 929645675 1009329590 1264318118 1413061426 1715860303 1806168740 1859291350 2018659180 2257710925 2523323975 2528636236 2826122852 3160795295 3431720606 3532653565 3718582700 4515421850 5046647950 6321590590 6863441212 7065307130 8579301515 9030843700 10093295900 12011022121 12643181180 14130614260 15803976475 17158603030 17663267825 24022044242 31607952950 34317206060 35326535650 42896507575 48044088484 60055110605 63215905900 70653071300 85793015150 120110221210 171586030300 240220442420 300275553025 600551106050 1201102212100