102101021012112 has 40 divisors (see below), whose sum is σ = 264188460442656. Its totient is φ = 33978513735936.

The previous prime is 102101021012087. The next prime is 102101021012161. The reversal of 102101021012112 is 211210120101201.

It is a happy number.

It is a super-2 number, since 2×102101021012112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102101021012091 and 102101021012100.

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 7 ways as a sum of consecutive naturals, for example, 1723718038 + ... + 1723777269.

Almost surely, 2^{102101021012112} is an apocalyptic number.

102101021012112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102101021012112 is an abundant number, since it is smaller than the sum of its proper divisors (162087439430544).

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

102101021012112 is a wasteful number, since it uses less digits than its factorization.

102101021012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3447495935 (or 3447495929 counting only the distinct ones).

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

Adding to 102101021012112 its reverse (211210120101201), we get a palindrome (313311141113313).

The spelling of 102101021012112 in words is "one hundred two trillion, one hundred one billion, twenty-one million, twelve thousand, one hundred twelve".