100122101221000 has 64 divisors (see below), whose sum is σ = 242364534750000. Its totient is φ = 38667845977600.

The previous prime is 100122101220979. The next prime is 100122101221033. The reversal of 100122101221000 is 122101221001.

It can be written as a sum of positive squares in 8 ways, for example, as 17562016778436 + 82560084442564 = 4190706^2 + 9086258^2 .

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 15 ways as a sum of consecutive naturals, for example, 1726214125 + ... + 1726272124.

Almost surely, 2^{100122101221000} is an apocalyptic number.

100122101221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122101221000 is an abundant number, since it is smaller than the sum of its proper divisors (142242433529000).

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

100122101221000 is a wasteful number, since it uses less digits than its factorization.

100122101221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452486299 (or 3452486285 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100122101221000 its reverse (122101221001), we get a palindrome (100244202442001).

Subtracting from 100122101221000 its reverse (122101221001), we obtain a palindrome (99999999999999).

The spelling of 100122101221000 in words is "one hundred trillion, one hundred twenty-two billion, one hundred one million, two hundred twenty-one thousand".