10221102010120 has 32 divisors (see below), whose sum is σ = 23001536741400. Its totient is φ = 4087719520768.

The previous prime is 10221102010109. The next prime is 10221102010129. The reversal of 10221102010120 is 2101020112201.

It can be written as a sum of positive squares in 4 ways, for example, as 8846472387204 + 1374629622916 = 2974302^2 + 1172446^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 10221102010120.

It is not an unprimeable number, because it can be changed into a prime (10221102010129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22310509 + ... + 22764028.

Almost surely, 2^{10221102010120} is an apocalyptic number.

10221102010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221102010120 is an abundant number, since it is smaller than the sum of its proper divisors (12780434731280).

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

10221102010120 is a wasteful number, since it uses less digits than its factorization.

10221102010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45080217 (or 45080213 counting only the distinct ones).

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

Adding to 10221102010120 its reverse (2101020112201), we get a palindrome (12322122122321).

The spelling of 10221102010120 in words is "ten trillion, two hundred twenty-one billion, one hundred two million, ten thousand, one hundred twenty".