101020313121 has 64 divisors (see below), whose sum is σ = 177660284928. Its totient is φ = 49591035648.

The previous prime is 101020313111. The next prime is 101020313143. The reversal of 101020313121 is 121313020101.

It is a happy number.

It is not a de Polignac number, because 101020313121 - 2⁶ = 101020313057 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101020313121.

It is not an unprimeable number, because it can be changed into a prime (101020313111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14910 + ... + 449736.

It is an arithmetic number, because the mean of its divisors is an integer number (2775941952).

Almost surely, 2^101020313121 is an apocalyptic number.

It is an amenable number.

101020313121 is a deficient number, since it is larger than the sum of its proper divisors (76639971807).

101020313121 is a wasteful number, since it uses less digits than its factorization.

101020313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434910.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101020313121 its reverse (121313020101), we get a palindrome (222333333222).

The spelling of 101020313121 in words is "one hundred one billion, twenty million, three hundred thirteen thousand, one hundred twenty-one".