102101122010112 has 88 divisors (see below), whose sum is σ = 288144756702576. Its totient is φ = 32031724535808.

The previous prime is 102101122010077. The next prime is 102101122010119. The reversal of 102101122010112 is 211010221101201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102101122010091 and 102101122010100.

It is not an unprimeable number, because it can be changed into a prime (102101122010119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 977478433 + ... + 977582880.

Almost surely, 2^{102101122010112} is an apocalyptic number.

102101122010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101122010112 is an abundant number, since it is smaller than the sum of its proper divisors (186043634692464).

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

102101122010112 is a wasteful number, since it uses less digits than its factorization.

102101122010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955061353 (or 1955061335 counting only the distinct ones).

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

Adding to 102101122010112 its reverse (211010221101201), we get a palindrome (313111343111313).

The spelling of 102101122010112 in words is "one hundred two trillion, one hundred one billion, one hundred twenty-two million, ten thousand, one hundred twelve".