102010010222112 has 96 divisors (see below), whose sum is σ = 281294018006400. Its totient is φ = 32306642565120.

The previous prime is 102010010222101. The next prime is 102010010222213. The reversal of 102010010222112 is 211222010010201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 102010010222091 and 102010010222100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154705189 + ... + 155363172.

It is an arithmetic number, because the mean of its divisors is an integer number (2930146020900).

Almost surely, 2^{102010010222112} is an apocalyptic number.

102010010222112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102010010222112 is an abundant number, since it is smaller than the sum of its proper divisors (179284007784288).

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

102010010222112 is a wasteful number, since it uses less digits than its factorization.

102010010222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310068546 (or 310068538 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102010010222112 its reverse (211222010010201), we get a palindrome (313232020232313).

The spelling of 102010010222112 in words is "one hundred two trillion, ten billion, ten million, two hundred twenty-two thousand, one hundred twelve".