102102002210112 has 56 divisors (see below), whose sum is σ = 276733780401792. Its totient is φ = 33203903155200.

The previous prime is 102102002210101. The next prime is 102102002210167. The reversal of 102102002210112 is 211012200201201.

It is a junction number, because it is equal to n+sod(n) for n = 102102002210091 and 102102002210100.

It is a congruent number.

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, 6485129464 + ... + 6485145207.

It is an arithmetic number, because the mean of its divisors is an integer number (4941674650032).

Almost surely, 2^{102102002210112} is an apocalyptic number.

102102002210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102102002210112 is an abundant number, since it is smaller than the sum of its proper divisors (174631778191680).

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

102102002210112 is a wasteful number, since it uses less digits than its factorization.

102102002210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12970274727 (or 12970274717 counting only the distinct ones).

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

Adding to 102102002210112 its reverse (211012200201201), we get a palindrome (313114202411313).

The spelling of 102102002210112 in words is "one hundred two trillion, one hundred two billion, two million, two hundred ten thousand, one hundred twelve".