102221121120012 has 72 divisors (see below), whose sum is σ = 264407851627920. Its totient is φ = 33280483299840.

The previous prime is 102221121120007. The next prime is 102221121120043. The reversal of 102221121120012 is 210021121122201.

102221121120012 is a `hidden beast` number, since 10 + 22 + 211 + 211 + 200 + 12 = 666.

It is a super-2 number, since 2×102221121120012² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64369312 + ... + 65938232.

It is an arithmetic number, because the mean of its divisors is an integer number (3672331272610).

Almost surely, 2^{102221121120012} is an apocalyptic number.

102221121120012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102221121120012 is an abundant number, since it is smaller than the sum of its proper divisors (162186730507908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102221121120012 is a wasteful number, since it uses less digits than its factorization.

102221121120012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611063 (or 1611058 counting only the distinct ones).

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

Adding to 102221121120012 its reverse (210021121122201), we get a palindrome (312242242242213).

The spelling of 102221121120012 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-one million, one hundred twenty thousand, twelve".