102001222220120 has 256 divisors, whose sum is σ = 236090090880000. Its totient is φ = 39653512740864.

The previous prime is 102001222220111. The next prime is 102001222220143. The reversal of 102001222220120 is 21022222100201.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 18934696067 + ... + 18934701453.

It is an arithmetic number, because the mean of its divisors is an integer number (922226917500).

Almost surely, 2^{102001222220120} is an apocalyptic number.

102001222220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001222220120 is an abundant number, since it is smaller than the sum of its proper divisors (134088868659880).

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

102001222220120 is a wasteful number, since it uses less digits than its factorization.

102001222220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6010 (or 6006 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 102001222220120 its reverse (21022222100201), we get a palindrome (123023444320321).

The spelling of 102001222220120 in words is "one hundred two trillion, one billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twenty".