90100100001 has 16 divisors (see below), whose sum is σ = 122184342720. Its totient is φ = 59041540800.

The previous prime is 90100099951. The next prime is 90100100017. The reversal of 90100100001 is 10000100109.

It is not a de Polignac number, because 90100100001 - 2¹⁴ = 90100083617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 90100100001.

It is not an unprimeable number, because it can be changed into a prime (90100100201) 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, 1726771 + ... + 1778183.

It is an arithmetic number, because the mean of its divisors is an integer number (7636521420).

Almost surely, 2^90100100001 is an apocalyptic number.

It is an amenable number.

90100100001 is a deficient number, since it is larger than the sum of its proper divisors (32084242719).

90100100001 is a wasteful number, since it uses less digits than its factorization.

90100100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61376.

The product of its (nonzero) digits is 9, while the sum is 12.

The spelling of 90100100001 in words is "ninety billion, one hundred million, one hundred thousand, one".