102001222001000 has 64 divisors (see below), whose sum is σ = 272780410855680. Its totient is φ = 34971847540800.

The previous prime is 102001222000963. The next prime is 102001222001069. The reversal of 102001222001000 is 100222100201.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7285794572 + ... + 7285808571.

It is an arithmetic number, because the mean of its divisors is an integer number (4262193919620).

Almost surely, 2^{102001222001000} is an apocalyptic number.

102001222001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001222001000 is an abundant number, since it is smaller than the sum of its proper divisors (170779188854680).

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

102001222001000 is a wasteful number, since it uses less digits than its factorization.

102001222001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14571603171 (or 14571603157 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102001222001000 its reverse (100222100201), we get a palindrome (102101444101201).

The spelling of 102001222001000 in words is "one hundred two trillion, one billion, two hundred twenty-two million, one thousand".