100212221010100 has 72 divisors (see below), whose sum is σ = 217965368585720. Its totient is φ = 39991918855680.

The previous prime is 100212221010053. The next prime is 100212221010179. The reversal of 100212221010100 is 1010122212001.

It can be written as a sum of positive squares in 12 ways, for example, as 11982494557476 + 88229726452624 = 3461574^2 + 9393068^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88506346 + ... + 89631454.

Almost surely, 2^{100212221010100} is an apocalyptic number.

100212221010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212221010100 is an abundant number, since it is smaller than the sum of its proper divisors (117753147575620).

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

100212221010100 is a wasteful number, since it uses less digits than its factorization.

100212221010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127189 (or 1127182 counting only the distinct ones).

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

Adding to 100212221010100 its reverse (1010122212001), we get a palindrome (101222343222101).

The spelling of 100212221010100 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, ten thousand, one hundred".