10221011022112 has 144 divisors (see below), whose sum is σ = 22240767144960. Its totient is φ = 4620223365120.

The previous prime is 10221011022107. The next prime is 10221011022161. The reversal of 10221011022112 is 21122011012201.

It is a super-3 number, since 3×10221011022112³ (a number of 40 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 897125088 + ... + 897136480.

It is an arithmetic number, because the mean of its divisors is an integer number (154449771840).

Almost surely, 2^{10221011022112} 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 10221011022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11120383572480).

10221011022112 is an abundant number, since it is smaller than the sum of its proper divisors (12019756122848).

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

10221011022112 is a wasteful number, since it uses less digits than its factorization.

10221011022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12687 (or 12668 counting only the distinct ones).

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

Adding to 10221011022112 its reverse (21122011012201), we get a palindrome (31343022034313).

The spelling of 10221011022112 in words is "ten trillion, two hundred twenty-one billion, eleven million, twenty-two thousand, one hundred twelve".