10121313211100 has 144 divisors (see below), whose sum is σ = 27040960934400. Its totient is φ = 3202130430720.

The previous prime is 10121313211091. The next prime is 10121313211117. The reversal of 10121313211100 is 111231312101.

It is a super-2 number, since 2×10121313211100² (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 47 ways as a sum of consecutive naturals, for example, 26555681 + ... + 26934119.

Almost surely, 2^{10121313211100} is an apocalyptic number.

10121313211100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121313211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13520480467200).

10121313211100 is an abundant number, since it is smaller than the sum of its proper divisors (16919647723300).

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

10121313211100 is a wasteful number, since it uses less digits than its factorization.

10121313211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381412 (or 381405 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 10121313211100 its reverse (111231312101), we get a palindrome (10232544523201).

The spelling of 10121313211100 in words is "ten trillion, one hundred twenty-one billion, three hundred thirteen million, two hundred eleven thousand, one hundred".