10213112213200 has 120 divisors (see below), whose sum is σ = 26507825999928. Its totient is φ = 3759098787840.

The previous prime is 10213112213189. The next prime is 10213112213201. The reversal of 10213112213200 is 231221131201.

It can be written as a sum of positive squares in 12 ways, for example, as 7076727884944 + 3136384328256 = 2660212^2 + 1770984^2 .

It is a super-2 number, since 2×10213112213200² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10213112213201) 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, 1449487 + ... + 4746286.

Almost surely, 2^{10213112213200} is an apocalyptic number.

10213112213200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213112213200 is an abundant number, since it is smaller than the sum of its proper divisors (16294713786728).

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

10213112213200 is a wasteful number, since it uses less digits than its factorization.

10213112213200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6196121 (or 6196110 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 10213112213200 its reverse (231221131201), we get a palindrome (10444333344401).

The spelling of 10213112213200 in words is "ten trillion, two hundred thirteen billion, one hundred twelve million, two hundred thirteen thousand, two hundred".