20101221112210 has 48 divisors (see below), whose sum is σ = 42506223419160. Its totient is φ = 6823611110400.

The previous prime is 20101221112187. The next prime is 20101221112211. The reversal of 20101221112210 is 1221112210102.

It can be written as a sum of positive squares in 4 ways, for example, as 19370816710441 + 730404401769 = 4401229^2 + 854637^2 .

It is a super-2 number, since 2×20101221112210² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20101221112211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203034175 + ... + 203133154.

Almost surely, 2^{20101221112210} is an apocalyptic number.

20101221112210 is an abundant number, since it is smaller than the sum of its proper divisors (22405002306950).

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

20101221112210 is a wasteful number, since it uses less digits than its factorization.

20101221112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406167451 (or 406167444 counting only the distinct ones).

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

Adding to 20101221112210 its reverse (1221112210102), we get a palindrome (21322333322312).

The spelling of 20101221112210 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, one hundred twelve thousand, two hundred ten".