102022110110112 has 48 divisors (see below), whose sum is σ = 269581602249792. Its totient is φ = 33782155660800.

The previous prime is 102022110110051. The next prime is 102022110110147. The reversal of 102022110110112 is 211011011220201.

It is a happy number.

102022110110112 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 102022110110091 and 102022110110100.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3518960053 + ... + 3518989044.

It is an arithmetic number, because the mean of its divisors is an integer number (5616283380204).

Almost surely, 2^{102022110110112} is an apocalyptic number.

102022110110112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102022110110112 is an abundant number, since it is smaller than the sum of its proper divisors (167559492139680).

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

102022110110112 is a wasteful number, since it uses less digits than its factorization.

102022110110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037949261 (or 7037949253 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102022110110112 its reverse (211011011220201), we get a palindrome (313033121330313).

The spelling of 102022110110112 in words is "one hundred two trillion, twenty-two billion, one hundred ten million, one hundred ten thousand, one hundred twelve".