10312110022100 has 18 divisors (see below), whose sum is σ = 22377278748174. Its totient is φ = 4124844008800.

The previous prime is 10312110022013. The next prime is 10312110022163. The reversal of 10312110022100 is 122001121301.

It can be written as a sum of positive squares in 3 ways, for example, as 53785031056 + 10258324991044 = 231916^2 + 3202862^2 .

It is a super-2 number, since 2×10312110022100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51560550011 + ... + 51560550210.

Almost surely, 2^{10312110022100} is an apocalyptic number.

10312110022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10312110022100 is an abundant number, since it is smaller than the sum of its proper divisors (12065168726074).

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

10312110022100 is a wasteful number, since it uses less digits than its factorization.

10312110022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103121100235 (or 103121100228 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10312110022100 its reverse (122001121301), we get a palindrome (10434111143401).

The spelling of 10312110022100 in words is "ten trillion, three hundred twelve billion, one hundred ten million, twenty-two thousand, one hundred".