331012002101 has 24 divisors (see below), whose sum is σ = 376582280760. Its totient is φ = 290391812480.

The previous prime is 331012002073. The next prime is 331012002107. The reversal of 331012002101 is 101200210133.

It can be written as a sum of positive squares in 4 ways, for example, as 20657163076 + 310354839025 = 143726^2 + 557095^2 .

It is not a de Polignac number, because 331012002101 - 2²² = 331007807797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331012002107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6983855 + ... + 7031091.

It is an arithmetic number, because the mean of its divisors is an integer number (15690928365).

Almost surely, 2^331012002101 is an apocalyptic number.

It is an amenable number.

331012002101 is a deficient number, since it is larger than the sum of its proper divisors (45570278659).

331012002101 is a wasteful number, since it uses less digits than its factorization.

331012002101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49285 (or 49274 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 331012002101 its reverse (101200210133), we get a palindrome (432212212234).

It can be divided in two parts, 33 and 1012002101, that multiplied together give a palindrome (33396069333).

The spelling of 331012002101 in words is "three hundred thirty-one billion, twelve million, two thousand, one hundred one".