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102120222012200 = 23527611195787143
BaseRepresentation
bin10111001110000010110111…
…100011101011001100101000
3111101120121010212002101020022
4113032002313203223030220
5101341114203313342300
61001105214330420012
730336641204656520
oct2716026743531450
9441517125071208
10102120222012200
112a5a1a4106a137
12b5536bb891608
1344c9b84887c32
141b309062ba680
15bc15abea9285
hex5ce0b78eb328

102120222012200 has 96 divisors (see below), whose sum is σ = 275796346892160. Its totient is φ = 34438669689600.

The previous prime is 102120222012161. The next prime is 102120222012257. The reversal of 102120222012200 is 2210222021201.

It is a happy number.

102120222012200 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597808172 + ... + 597978971.

It is an arithmetic number, because the mean of its divisors is an integer number (2872878613460).

Almost surely, 2102120222012200 is an apocalyptic number.

102120222012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120222012200 is an abundant number, since it is smaller than the sum of its proper divisors (173676124879960).

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

102120222012200 is a wasteful number, since it uses less digits than its factorization.

102120222012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195787227 (or 1195787218 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102120222012200 its reverse (2210222021201), we get a palindrome (104330444033401).

Subtracting from 102120222012200 its reverse (2210222021201), we obtain a palindrome (99909999990999).

The spelling of 102120222012200 in words is "one hundred two trillion, one hundred twenty billion, two hundred twenty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 61 70 100 122 140 175 200 244 280 305 350 427 488 610 700 854 1220 1400 1525 1708 2135 2440 3050 3416 4270 6100 8540 10675 12200 17080 21350 42700 85400 1195787143 2391574286 4783148572 5978935715 8370510001 9566297144 11957871430 16741020002 23915742860 29894678575 33482040004 41852550005 47831485720 59789357150 66964080008 72943015723 83705100010 119578714300 145886031446 167410200020 209262750025 239157428600 291772062892 334820400040 364715078615 418525500050 510601110061 583544125784 729430157230 837051000100 1021202220122 1458860314460 1674102000200 1823575393075 2042404440244 2553005550305 2917720628920 3647150786150 4084808880488 5106011100610 7294301572300 10212022201220 12765027751525 14588603144600 20424044402440 25530055503050 51060111006100 102120222012200