102221222120010 has 128 divisors (see below), whose sum is σ = 311545760256000. Its totient is φ = 23363769522240.

The previous prime is 102221222119987. The next prime is 102221222120021. The reversal of 102221222120010 is 10021222122201.

It is a happy number.

102221222120010 is a `hidden beast` number, since 1 + 0 + 22 + 212 + 221 + 200 + 10 = 666.

It is a super-3 number, since 3×102221222120010³ (a number of 43 digits) contains 333 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 63 ways as a sum of consecutive naturals, for example, 39959565 + ... + 42440655.

It is an arithmetic number, because the mean of its divisors is an integer number (2433951252000).

Almost surely, 2^{102221222120010} is an apocalyptic number.

102221222120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102221222120010 is an abundant number, since it is smaller than the sum of its proper divisors (209324538135990).

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

102221222120010 is a wasteful number, since it uses less digits than its factorization.

102221222120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2502913 (or 2502907 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102221222120010 its reverse (10021222122201), we get a palindrome (112242444242211).

The spelling of 102221222120010 in words is "one hundred two trillion, two hundred twenty-one billion, two hundred twenty-two million, one hundred twenty thousand, ten".