10013122100 has 36 divisors (see below), whose sum is σ = 21920787084. Its totient is φ = 3969799680.

The previous prime is 10013122079. The next prime is 10013122103. The reversal of 10013122100 is 122131001.

It can be written as a sum of positive squares in 6 ways, for example, as 2119865764 + 7893256336 = 46042^2 + 88844^2 .

It is a super-2 number, since 2×10013122100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013122103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 431759 + ... + 454358.

Almost surely, 2^10013122100 is an apocalyptic number.

10013122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013122100 is an abundant number, since it is smaller than the sum of its proper divisors (11907664984).

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

10013122100 is a wasteful number, since it uses less digits than its factorization.

10013122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886244 (or 886237 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10013122100 its reverse (122131001), we get a palindrome (10135253101).

The spelling of 10013122100 in words is "ten billion, thirteen million, one hundred twenty-two thousand, one hundred".