10121130331100 has 72 divisors (see below), whose sum is σ = 22046599083600. Its totient is φ = 4033040857600.

The previous prime is 10121130331003. The next prime is 10121130331139. The reversal of 10121130331100 is 113303112101.

It is a super-2 number, since 2×10121130331100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31309295 + ... + 31630905.

It is an arithmetic number, because the mean of its divisors is an integer number (306202765050).

Almost surely, 2^{10121130331100} is an apocalyptic number.

10121130331100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121130331100 is an abundant number, since it is smaller than the sum of its proper divisors (11925468752500).

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

10121130331100 is a wasteful number, since it uses less digits than its factorization.

10121130331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322823 (or 322816 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10121130331100 its reverse (113303112101), we get a palindrome (10234433443201).

The spelling of 10121130331100 in words is "ten trillion, one hundred twenty-one billion, one hundred thirty million, three hundred thirty-one thousand, one hundred".