100210012012100 has 18 divisors (see below), whose sum is σ = 217455726066474. Its totient is φ = 40084004804800.

The previous prime is 100210012012067. The next prime is 100210012012157. The reversal of 100210012012100 is 1210210012001.

It can be written as a sum of positive squares in 3 ways, for example, as 15262711189504 + 84947300822596 = 3906752^2 + 9216686^2 .

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, 501050059961 + ... + 501050060160.

Almost surely, 2^{100210012012100} is an apocalyptic number.

100210012012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100210012012100 is an abundant number, since it is smaller than the sum of its proper divisors (117245714054374).

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

100210012012100 is a wasteful number, since it uses less digits than its factorization.

100210012012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002100120135 (or 1002100120128 counting only the distinct ones).

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

Adding to 100210012012100 its reverse (1210210012001), we get a palindrome (101420222024101).

The spelling of 100210012012100 in words is "one hundred trillion, two hundred ten billion, twelve million, twelve thousand, one hundred".