102220121102112 has 144 divisors (see below), whose sum is σ = 313671490711488. Its totient is φ = 31389814863360.

The previous prime is 102220121102107. The next prime is 102220121102153. The reversal of 102220121102112 is 211201121022201.

102220121102112 is a `hidden beast` number, since 102 + 220 + 121 + 10 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

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, 25256314 + ... + 29022777.

It is an arithmetic number, because the mean of its divisors is an integer number (2178274241052).

Almost surely, 2^{102220121102112} is an apocalyptic number.

102220121102112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102220121102112 is an abundant number, since it is smaller than the sum of its proper divisors (211451369609376).

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

102220121102112 is a wasteful number, since it uses less digits than its factorization.

102220121102112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54279623 (or 54279612 counting only the distinct ones).

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

Adding to 102220121102112 its reverse (211201121022201), we get a palindrome (313421242124313).

The spelling of 102220121102112 in words is "one hundred two trillion, two hundred twenty billion, one hundred twenty-one million, one hundred two thousand, one hundred twelve".