100122102110000 has 100 divisors (see below), whose sum is σ = 242413189510800. Its totient is φ = 40047590496000.

The previous prime is 100122102109993. The next prime is 100122102110003. The reversal of 100122102110000 is 11201221001.

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (100122102110003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 362151821 + ... + 362428179.

It is an arithmetic number, because the mean of its divisors is an integer number (2424131895108).

Almost surely, 2^{100122102110000} is an apocalyptic number.

100122102110000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122102110000 is an abundant number, since it is smaller than the sum of its proper divisors (142291087400800).

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

100122102110000 is an equidigital number, since it uses as much as digits as its factorization.

100122102110000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312616 (or 312595 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100122102110000 its reverse (11201221001), we get a palindrome (100133303331001).

The spelling of 100122102110000 in words is "one hundred trillion, one hundred twenty-two billion, one hundred two million, one hundred ten thousand".