10102121022112 has 96 divisors (see below), whose sum is σ = 22825593262080. Its totient is φ = 4311236832000.

The previous prime is 10102121022083. The next prime is 10102121022179. The reversal of 10102121022112 is 21122012120101.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 276547593 + ... + 276584119.

It is an arithmetic number, because the mean of its divisors is an integer number (237766596480).

Almost surely, 2^{10102121022112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102121022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11412796631040).

10102121022112 is an abundant number, since it is smaller than the sum of its proper divisors (12723472239968).

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

10102121022112 is a wasteful number, since it uses less digits than its factorization.

10102121022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41714 (or 41706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10102121022112 its reverse (21122012120101), we get a palindrome (31224133142213).

The spelling of 10102121022112 in words is "ten trillion, one hundred two billion, one hundred twenty-one million, twenty-two thousand, one hundred twelve".