102221122220100 has 216 divisors, whose sum is σ = 346980754935360. Its totient is φ = 25021551363840.

The previous prime is 102221122220069. The next prime is 102221122220101. The reversal of 102221122220100 is 1022221122201.

It is a happy number.

102221122220100 is a `hidden beast` number, since 1 + 0 + 2 + 221 + 122 + 220 + 100 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102221122220101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22310304 + ... + 26498903.

It is an arithmetic number, because the mean of its divisors is an integer number (1606392383960).

Almost surely, 2^{102221122220100} is an apocalyptic number.

102221122220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102221122220100 is an abundant number, since it is smaller than the sum of its proper divisors (244759632715260).

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

102221122220100 is a wasteful number, since it uses less digits than its factorization.

102221122220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48809419 (or 48809409 counting only the distinct ones).

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

Adding to 102221122220100 its reverse (1022221122201), we get a palindrome (103243343342301).

The spelling of 102221122220100 in words is "one hundred two trillion, two hundred twenty-one billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".