101022011121 has 16 divisors (see below), whose sum is σ = 135301939200. Its totient is φ = 67045222608.

The previous prime is 101022011087. The next prime is 101022011159. The reversal of 101022011121 is 121110220101.

It is not a de Polignac number, because 101022011121 - 2¹⁰ = 101022010097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101022011097 and 101022011106.

It is not an unprimeable number, because it can be changed into a prime (101022011161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2465520 + ... + 2506158.

It is an arithmetic number, because the mean of its divisors is an integer number (8456371200).

Almost surely, 2^101022011121 is an apocalyptic number.

It is an amenable number.

101022011121 is a deficient number, since it is larger than the sum of its proper divisors (34279928079).

101022011121 is a wasteful number, since it uses less digits than its factorization.

101022011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44348.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101022011121 its reverse (121110220101), we get a palindrome (222132231222).

The spelling of 101022011121 in words is "one hundred one billion, twenty-two million, eleven thousand, one hundred twenty-one".