10022102010112 has 72 divisors (see below), whose sum is σ = 20258146399232. Its totient is φ = 4948028467200.

The previous prime is 10022102010071. The next prime is 10022102010121. The reversal of 10022102010112 is 21101020122001.

It is a junction number, because it is equal to n+sod(n) for n = 10022102010092 and 10022102010101.

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, 6129562 + ... + 7590502.

Almost surely, 2^{10022102010112} 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 10022102010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10129073199616).

10022102010112 is an abundant number, since it is smaller than the sum of its proper divisors (10236044389120).

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

10022102010112 is a wasteful number, since it uses less digits than its factorization.

10022102010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1461295 (or 1461281 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022102010112 its reverse (21101020122001), we get a palindrome (31123122132113).

The spelling of 10022102010112 in words is "ten trillion, twenty-two billion, one hundred two million, ten thousand, one hundred twelve".