902012112001 has 48 divisors (see below), whose sum is σ = 1233352104768. Its totient is φ = 648467164800.

The previous prime is 902012111947. The next prime is 902012112007. The reversal of 902012112001 is 100211210209.

It is a happy number.

It is not a de Polignac number, because 902012112001 - 2⁹ = 902012111489 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 902012112001.

It is not an unprimeable number, because it can be changed into a prime (902012112007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14059071 + ... + 14123083.

It is an arithmetic number, because the mean of its divisors is an integer number (25694835516).

Almost surely, 2^902012112001 is an apocalyptic number.

902012112001 is a gapful number since it is divisible by the number (91) formed by its first and last digit.

It is an amenable number.

902012112001 is a deficient number, since it is larger than the sum of its proper divisors (331339992767).

902012112001 is a wasteful number, since it uses less digits than its factorization.

902012112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66062 (or 66055 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 19.

The spelling of 902012112001 in words is "nine hundred two billion, twelve million, one hundred twelve thousand, one".