901312121112001 has 4 divisors (see below), whose sum is σ = 902075298184404. Its totient is φ = 900548944039600.

The previous prime is 901312121111971. The next prime is 901312121112017. The reversal of 901312121112001 is 100211121213109.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 866949077112001 + 34363044000000 = 29443999^2 + 5862000^2 .

It is a cyclic number.

It is not a de Polignac number, because 901312121112001 - 2²⁷ = 901311986894273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (901312121712001) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 381588534430 + ... + 381588536791.

It is an arithmetic number, because the mean of its divisors is an integer number (225518824546101).

Almost surely, 2^{901312121112001} is an apocalyptic number.

It is an amenable number.

901312121112001 is a deficient number, since it is larger than the sum of its proper divisors (763177072403).

901312121112001 is a wasteful number, since it uses less digits than its factorization.

901312121112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763177072402.

The product of its (nonzero) digits is 216, while the sum is 25.

The spelling of 901312121112001 in words is "nine hundred one trillion, three hundred twelve billion, one hundred twenty-one million, one hundred twelve thousand, one".