100033131121 has 32 divisors (see below), whose sum is σ = 126506741760. Its totient is φ = 76835520000.

The previous prime is 100033131109. The next prime is 100033131137. The reversal of 100033131121 is 121131330001.

It is a cyclic number.

It is not a de Polignac number, because 100033131121 - 2⁷ = 100033130993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100033131095 and 100033131104.

It is not an unprimeable number, because it can be changed into a prime (100033131151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1848040 + ... + 1901398.

It is an arithmetic number, because the mean of its divisors is an integer number (3953335680).

Almost surely, 2^100033131121 is an apocalyptic number.

100033131121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100033131121 is a deficient number, since it is larger than the sum of its proper divisors (26473610639).

100033131121 is a wasteful number, since it uses less digits than its factorization.

100033131121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53725.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 100033131121 its reverse (121131330001), we get a palindrome (221164461122).

The spelling of 100033131121 in words is "one hundred billion, thirty-three million, one hundred thirty-one thousand, one hundred twenty-one".