100212101002100 has 18 divisors (see below), whose sum is σ = 217460259174774. Its totient is φ = 40084840400800.

The previous prime is 100212101002063. The next prime is 100212101002133. The reversal of 100212101002100 is 1200101212001.

It can be written as a sum of positive squares in 3 ways, for example, as 32302535995024 + 67909565007076 = 5683532^2 + 8240726^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 501060504911 + ... + 501060505110.

Almost surely, 2^{100212101002100} is an apocalyptic number.

100212101002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212101002100 is an abundant number, since it is smaller than the sum of its proper divisors (117248158172674).

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

100212101002100 is a wasteful number, since it uses less digits than its factorization.

100212101002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002121010035 (or 1002121010028 counting only the distinct ones).

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

Adding to 100212101002100 its reverse (1200101212001), we get a palindrome (101412202214101).

The spelling of 100212101002100 in words is "one hundred trillion, two hundred twelve billion, one hundred one million, two thousand, one hundred".