102122201200012 has 96 divisors (see below), whose sum is σ = 208515638016000. Its totient is φ = 42859756800000.

The previous prime is 102122201199971. The next prime is 102122201200013. The reversal of 102122201200012 is 210002102221201.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (102122201200013) 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 31 ways as a sum of consecutive naturals, for example, 4727650012 + ... + 4727671612.

It is an arithmetic number, because the mean of its divisors is an integer number (2172037896000).

Almost surely, 2^{102122201200012} is an apocalyptic number.

It is an amenable number.

102122201200012 is an abundant number, since it is smaller than the sum of its proper divisors (106393436815988).

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

102122201200012 is a wasteful number, since it uses less digits than its factorization.

102122201200012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37583 (or 37581 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122201200012 its reverse (210002102221201), we get a palindrome (312124303421213).

The spelling of 102122201200012 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred one million, two hundred thousand, twelve".