102022211012121 has 12 divisors (see below), whose sum is σ = 147365595330772. Its totient is φ = 68014724530176.

The previous prime is 102022211012107. The next prime is 102022211012153. The reversal of 102022211012121 is 121210112220201.

It can be written as a sum of positive squares in 2 ways, for example, as 77551271942400 + 24470939069721 = 8806320^2 + 4946811^2 .

It is not a de Polignac number, because 102022211012121 - 2²³ = 102022202623513 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102022211012094 and 102022211012103.

It is not an unprimeable number, because it can be changed into a prime (102022211012191) 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 11 ways as a sum of consecutive naturals, for example, 1431105 + ... + 14355921.

Almost surely, 2^{102022211012121} is an apocalyptic number.

It is an amenable number.

102022211012121 is a deficient number, since it is larger than the sum of its proper divisors (45343384318651).

102022211012121 is a wasteful number, since it uses less digits than its factorization.

102022211012121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13801880 (or 13801877 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102022211012121 its reverse (121210112220201), we get a palindrome (223232323232322).

The spelling of 102022211012121 in words is "one hundred two trillion, twenty-two billion, two hundred eleven million, twelve thousand, one hundred twenty-one".