901210101001 has 16 divisors (see below), whose sum is σ = 1084188873600. Its totient is φ = 731791922688.

The previous prime is 901210100983. The next prime is 901210101067. The reversal of 901210101001 is 100101012109.

It is not a de Polignac number, because 901210101001 - 2¹¹ = 901210098953 is a prime.

It is a super-2 number, since 2×901210101001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (901210101091) 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, 10703001 + ... + 10786873.

It is an arithmetic number, because the mean of its divisors is an integer number (67761804600).

Almost surely, 2^901210101001 is an apocalyptic number.

It is an amenable number.

901210101001 is a deficient number, since it is larger than the sum of its proper divisors (182978772599).

901210101001 is a wasteful number, since it uses less digits than its factorization.

901210101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164688.

The product of its (nonzero) digits is 18, while the sum is 16.

The spelling of 901210101001 in words is "nine hundred one billion, two hundred ten million, one hundred one thousand, one".