901101002001 has 16 divisors (see below), whose sum is σ = 1221982249920. Its totient is φ = 590479384320.

The previous prime is 901101001949. The next prime is 901101002023. The reversal of 901101002001 is 100200101109.

901101002001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 901101002001 - 2⁷ = 901101001873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (901101002041) 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, 1148061 + ... + 1766421.

It is an arithmetic number, because the mean of its divisors is an integer number (76373890620).

Almost surely, 2^901101002001 is an apocalyptic number.

It is an amenable number.

901101002001 is a deficient number, since it is larger than the sum of its proper divisors (320881247919).

901101002001 is a wasteful number, since it uses less digits than its factorization.

901101002001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626656.

The product of its (nonzero) digits is 18, while the sum is 15.

The spelling of 901101002001 in words is "nine hundred one billion, one hundred one million, two thousand, one".