990100010001 has 16 divisors (see below), whose sum is σ = 1337346754560. Its totient is φ = 651466255440.

The previous prime is 990100009991. The next prime is 990100010021. The reversal of 990100010001 is 100010001099.

It is not a de Polignac number, because 990100010001 - 2²² = 990095815697 is a prime.

990100010001 is a modest number, since divided by 10001 gives 9901 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 990100010001.

It is not an unprimeable number, because it can be changed into a prime (990100010021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153255 + ... + 1415516.

It is an arithmetic number, because the mean of its divisors is an integer number (83584172160).

Almost surely, 2^990100010001 is an apocalyptic number.

It is an amenable number.

990100010001 is a deficient number, since it is larger than the sum of its proper divisors (347246744559).

990100010001 is a wasteful number, since it uses less digits than its factorization.

990100010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1571516.

The product of its (nonzero) digits is 81, while the sum is 21.

The spelling of 990100010001 in words is "nine hundred ninety billion, one hundred million, ten thousand, one".