10000121313100 has 36 divisors (see below), whose sum is σ = 21724839050824. Its totient is φ = 3995518423680.

The previous prime is 10000121313079. The next prime is 10000121313131. The reversal of 10000121313100 is 131312100001.

10000121313100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10000121313100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56537529 + ... + 56714128.

Almost surely, 2^{10000121313100} is an apocalyptic number.

10000121313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000121313100 is an abundant number, since it is smaller than the sum of its proper divisors (11724717737724).

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

10000121313100 is a wasteful number, since it uses less digits than its factorization.

10000121313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113252554 (or 113252547 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 10000121313100 its reverse (131312100001), we get a palindrome (10131433413101).

The spelling of 10000121313100 in words is "ten trillion, one hundred twenty-one million, three hundred thirteen thousand, one hundred".