901010000100001 has 4 divisors (see below), whose sum is σ = 982920000109104. Its totient is φ = 819100000090900.

The previous prime is 901010000099971. The next prime is 901010000100011. The reversal of 901010000100001 is 100001000010109.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is not a de Polignac number, because 901010000100001 - 2³⁵ = 900975640361633 is a prime.

It is a Duffinian number.

901010000100001 is a modest number, since divided by 100001 gives 90101 as remainder.

It is not an unprimeable number, because it can be changed into a prime (901010000100011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40955000004535 + ... + 40955000004556.

It is an arithmetic number, because the mean of its divisors is an integer number (245730000027276).

Almost surely, 2^{901010000100001} is an apocalyptic number.

It is an amenable number.

901010000100001 is a deficient number, since it is larger than the sum of its proper divisors (81910000009103).

901010000100001 is a wasteful number, since it uses less digits than its factorization.

901010000100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81910000009102.

The product of its (nonzero) digits is 9, while the sum is 13.

The spelling of 901010000100001 in words is "nine hundred one trillion, ten billion, one hundred thousand, one".