102212122221121 has 32 divisors (see below), whose sum is σ = 124289201502720. Its totient is φ = 82843269177600.

The previous prime is 102212122221089. The next prime is 102212122221161. The reversal of 102212122221121 is 121122221212201.

It is a cyclic number.

It is not a de Polignac number, because 102212122221121 - 2⁵ = 102212122221089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102212122221092 and 102212122221101.

It is not an unprimeable number, because it can be changed into a prime (102212122221161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35077666 + ... + 37879636.

It is an arithmetic number, because the mean of its divisors is an integer number (3884037546960).

Almost surely, 2^{102212122221121} is an apocalyptic number.

102212122221121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102212122221121 is a deficient number, since it is larger than the sum of its proper divisors (22077079281599).

102212122221121 is a wasteful number, since it uses less digits than its factorization.

102212122221121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812285.

The product of its (nonzero) digits is 256, while the sum is 22.

Adding to 102212122221121 its reverse (121122221212201), we get a palindrome (223334343433322).

The spelling of 102212122221121 in words is "one hundred two trillion, two hundred twelve billion, one hundred twenty-two million, two hundred twenty-one thousand, one hundred twenty-one".