102021022211121 has 48 divisors (see below), whose sum is σ = 159222645188880. Its totient is φ = 62575390702080.

The previous prime is 102021022211117. The next prime is 102021022211123. The reversal of 102021022211121 is 121112220120201.

102021022211121 is a `hidden beast` number, since 102 + 0 + 210 + 22 + 211 + 121 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 82921537521 + 101938100673600 = 287961^2 + 10096440^2 .

It is not a de Polignac number, because 102021022211121 - 2² = 102021022211117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102021022211094 and 102021022211103.

It is not an unprimeable number, because it can be changed into a prime (102021022211123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62041875 + ... + 63665031.

It is an arithmetic number, because the mean of its divisors is an integer number (3317138441435).

Almost surely, 2^{102021022211121} is an apocalyptic number.

It is an amenable number.

102021022211121 is a deficient number, since it is larger than the sum of its proper divisors (57201622977759).

102021022211121 is a wasteful number, since it uses less digits than its factorization.

102021022211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624946 (or 1624943 counting only the distinct ones).

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

Adding to 102021022211121 its reverse (121112220120201), we get a palindrome (223133242331322).

The spelling of 102021022211121 in words is "one hundred two trillion, twenty-one billion, twenty-two million, two hundred eleven thousand, one hundred twenty-one".