102112111022220 has 192 divisors, whose sum is σ = 345506530884480. Its totient is φ = 24886424448000.

The previous prime is 102112111022197. The next prime is 102112111022263. The reversal of 102112111022220 is 22220111211201.

102112111022220 is a `hidden beast` number, since 1 + 0 + 211 + 211 + 1 + 0 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102112111022193 and 102112111022202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71300311 + ... + 72718350.

It is an arithmetic number, because the mean of its divisors is an integer number (1799513181690).

Almost surely, 2^{102112111022220} is an apocalyptic number.

102112111022220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112111022220 is an abundant number, since it is smaller than the sum of its proper divisors (243394419862260).

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

102112111022220 is a wasteful number, since it uses less digits than its factorization.

102112111022220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144018793 (or 144018785 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102112111022220 its reverse (22220111211201), we get a palindrome (124332222233421).

The spelling of 102112111022220 in words is "one hundred two trillion, one hundred twelve billion, one hundred eleven million, twenty-two thousand, two hundred twenty".