100402312001 has 16 divisors (see below), whose sum is σ = 109531324368. Its totient is φ = 91673856000.

The previous prime is 100402311973. The next prime is 100402312007. The reversal of 100402312001 is 100213204001.

It can be written as a sum of positive squares in 8 ways, for example, as 10447906225 + 89954405776 = 102215^2 + 299924^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100402312001 is a prime.

It is a super-2 number, since 2×100402312001² (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 (100402312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 587450 + ... + 738851.

It is an arithmetic number, because the mean of its divisors is an integer number (6845707773).

Almost surely, 2^100402312001 is an apocalyptic number.

It is an amenable number.

100402312001 is a deficient number, since it is larger than the sum of its proper divisors (9129012367).

100402312001 is a wasteful number, since it uses less digits than its factorization.

100402312001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326452.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100402312001 its reverse (100213204001), we get a palindrome (200615516002).

The spelling of 100402312001 in words is "one hundred billion, four hundred two million, three hundred twelve thousand, one".