102112121021112 has 48 divisors (see below), whose sum is σ = 277192353241440. Its totient is φ = 33958765410048.

The previous prime is 102112121021107. The next prime is 102112121021129. The reversal of 102112121021112 is 211120121211201.

It is a happy number.

102112121021112 is a `hidden beast` number, since 1 + 0 + 211 + 21 + 210 + 211 + 12 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1637640768 + ... + 1637703119.

It is an arithmetic number, because the mean of its divisors is an integer number (5774840692530).

Almost surely, 2^{102112121021112} is an apocalyptic number.

102112121021112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102112121021112 is an abundant number, since it is smaller than the sum of its proper divisors (175080232220328).

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

102112121021112 is a wasteful number, since it uses less digits than its factorization.

102112121021112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3275344332 (or 3275344325 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 102112121021112 its reverse (211120121211201), we get a palindrome (313232242232313).

The spelling of 102112121021112 in words is "one hundred two trillion, one hundred twelve billion, one hundred twenty-one million, twenty-one thousand, one hundred twelve".