102222210011121 has 96 divisors (see below), whose sum is σ = 160164244331520. Its totient is φ = 62654903764992.

The previous prime is 102222210011113. The next prime is 102222210011137. The reversal of 102222210011121 is 121110012222201.

102222210011121 is a `hidden beast` number, since 102 + 222 + 210 + 0 + 11 + 121 = 666.

It is not a de Polignac number, because 102222210011121 - 2³ = 102222210011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102222210011094 and 102222210011103.

It is not an unprimeable number, because it can be changed into a prime (102222210011111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281156376 + ... + 281519718.

It is an arithmetic number, because the mean of its divisors is an integer number (1668377545120).

Almost surely, 2^{102222210011121} is an apocalyptic number.

It is an amenable number.

102222210011121 is a deficient number, since it is larger than the sum of its proper divisors (57942034320399).

102222210011121 is a wasteful number, since it uses less digits than its factorization.

102222210011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363855 (or 363852 counting only the distinct ones).

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

Adding to 102222210011121 its reverse (121110012222201), we get a palindrome (223332222233322).

The spelling of 102222210011121 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred ten million, eleven thousand, one hundred twenty-one".