100221122101000 has 32 divisors (see below), whose sum is σ = 234517425718680. Its totient is φ = 40088448840000.

The previous prime is 100221122100977. The next prime is 100221122101019. The reversal of 100221122101000 is 101221122001.

It can be written as a sum of positive squares in 4 ways, for example, as 43660404190404 + 56560717910596 = 6607602^2 + 7520686^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50110560051 + ... + 50110562050.

Almost surely, 2^{100221122101000} is an apocalyptic number.

100221122101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221122101000 is an abundant number, since it is smaller than the sum of its proper divisors (134296303617680).

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

100221122101000 is a wasteful number, since it uses less digits than its factorization.

100221122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100221122122 (or 100221122108 counting only the distinct ones).

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

Adding to 100221122101000 its reverse (101221122001), we get a palindrome (100322343223001).

The spelling of 100221122101000 in words is "one hundred trillion, two hundred twenty-one billion, one hundred twenty-two million, one hundred one thousand".