100202100331 has 16 divisors (see below), whose sum is σ = 104471560800. Its totient is φ = 95989598208.

The previous prime is 100202100319. The next prime is 100202100373. The reversal of 100202100331 is 133001202001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100202100331 is a prime.

It is a super-2 number, since 2×100202100331² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100202100631) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2097645 + ... + 2144881.

It is an arithmetic number, because the mean of its divisors is an integer number (6529472550).

Almost surely, 2^100202100331 is an apocalyptic number.

100202100331 is a deficient number, since it is larger than the sum of its proper divisors (4269460469).

100202100331 is a wasteful number, since it uses less digits than its factorization.

100202100331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47838.

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100202100331 its reverse (133001202001), we get a palindrome (233203302332).

The spelling of 100202100331 in words is "one hundred billion, two hundred two million, one hundred thousand, three hundred thirty-one".