100002121331 has 12 divisors (see below), whose sum is σ = 118300679640. Its totient is φ = 84263286240.

The previous prime is 100002121321. The next prime is 100002121339. The reversal of 100002121331 is 133121200001.

It is not a de Polignac number, because 100002121331 - 2²² = 99997927027 is a prime.

It is a super-2 number, since 2×100002121331² (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 (100002121339) 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 11 ways as a sum of consecutive naturals, for example, 17292530 + ... + 17298311.

It is an arithmetic number, because the mean of its divisors is an integer number (9858389970).

Almost surely, 2^100002121331 is an apocalyptic number.

100002121331 is a deficient number, since it is larger than the sum of its proper divisors (18298558309).

100002121331 is an equidigital number, since it uses as much as digits as its factorization.

100002121331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34590914 (or 34590907 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 100002121331 its reverse (133121200001), we get a palindrome (233123321332).

The spelling of 100002121331 in words is "one hundred billion, two million, one hundred twenty-one thousand, three hundred thirty-one".