100213321212100 has 18 divisors (see below), whose sum is σ = 217462907030474. Its totient is φ = 40085328484800.

The previous prime is 100213321212089. The next prime is 100213321212113. The reversal of 100213321212100 is 1212123312001.

100213321212100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 495402007104 + 99717919204996 = 703848^2 + 9985886^2 .

It is a super-3 number, since 3×100213321212100³ (a number of 43 digits) contains 333 as substring.

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, 501066605961 + ... + 501066606160.

Almost surely, 2^{100213321212100} is an apocalyptic number.

100213321212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100213321212100 is an abundant number, since it is smaller than the sum of its proper divisors (117249585818374).

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

100213321212100 is a wasteful number, since it uses less digits than its factorization.

100213321212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002133212135 (or 1002133212128 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100213321212100 its reverse (1212123312001), we get a palindrome (101425444524101).

The spelling of 100213321212100 in words is "one hundred trillion, two hundred thirteen billion, three hundred twenty-one million, two hundred twelve thousand, one hundred".