3121122201021 has 48 divisors (see below), whose sum is σ = 4932592928640. Its totient is φ = 1886035536000.

The previous prime is 3121122200947. The next prime is 3121122201037. The reversal of 3121122201021 is 1201022211213.

3121122201021 is a `hidden beast` number, since 312 + 112 + 220 + 1 + 0 + 21 = 666.

It is not a de Polignac number, because 3121122201021 - 2⁹ = 3121122200509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3121122200985 and 3121122201003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121122201221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46362616 + ... + 46429886.

It is an arithmetic number, because the mean of its divisors is an integer number (102762352680).

Almost surely, 2^{3121122201021} is an apocalyptic number.

It is an amenable number.

3121122201021 is a deficient number, since it is larger than the sum of its proper divisors (1811470727619).

3121122201021 is a wasteful number, since it uses less digits than its factorization.

3121122201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68658 (or 68655 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 3121122201021 its reverse (1201022211213), we get a palindrome (4322144412234).

The spelling of 3121122201021 in words is "three trillion, one hundred twenty-one billion, one hundred twenty-two million, two hundred one thousand, twenty-one".