102222021011121 has 18 divisors (see below), whose sum is σ = 162297405261810. Its totient is φ = 61952740006080.

The previous prime is 102222021011107. The next prime is 102222021011239. The reversal of 102222021011121 is 121110120222201.

102222021011121 is a `hidden beast` number, since 102 + 2 + 220 + 210 + 11 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70571945305521 + 31650075705600 = 8400711^2 + 5625840^2 .

It is not a de Polignac number, because 102222021011121 - 2²⁷ = 102221886793393 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222021011094 and 102222021011103.

It is not an unprimeable number, because it can be changed into a prime (102222021013121) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 46933892856 + ... + 46933895033.

It is an arithmetic number, because the mean of its divisors is an integer number (9016522514545).

Almost surely, 2^{102222021011121} is an apocalyptic number.

102222021011121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102222021011121 is a deficient number, since it is larger than the sum of its proper divisors (60075384250689).

102222021011121 is a wasteful number, since it uses less digits than its factorization.

102222021011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93867787917 (or 93867787903 counting only the distinct ones).

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

Adding to 102222021011121 its reverse (121110120222201), we get a palindrome (223332141233322).

The spelling of 102222021011121 in words is "one hundred two trillion, two hundred twenty-two billion, twenty-one million, eleven thousand, one hundred twenty-one".