10221022112 has 72 divisors (see below), whose sum is σ = 23453180100. Its totient is φ = 4371978240.

The previous prime is 10221022067. The next prime is 10221022157. The reversal of 10221022112 is 21122012201.

It is an interprime number because it is at equal distance from previous prime (10221022067) and next prime (10221022157).

It can be written as a sum of positive squares in 2 ways, for example, as 10200192016 + 20830096 = 100996^2 + 4564^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 842264 + ... + 854312.

Almost surely, 2^10221022112 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 10221022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726590050).

10221022112 is an abundant number, since it is smaller than the sum of its proper divisors (13232157988).

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

10221022112 is a wasteful number, since it uses less digits than its factorization.

10221022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12614 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10221022112 its reverse (21122012201), we get a palindrome (31343034313).

The spelling of 10221022112 in words is "ten billion, two hundred twenty-one million, twenty-two thousand, one hundred twelve".