100211200112100 has 216 divisors, whose sum is σ = 367944292745568. Its totient is φ = 20823106483200.

The previous prime is 100211200112083. The next prime is 100211200112141. The reversal of 100211200112100 is 1211002112001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 309705957 + ... + 310029356.

It is an arithmetic number, because the mean of its divisors is an integer number (1703445799748).

Almost surely, 2^{100211200112100} is an apocalyptic number.

100211200112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211200112100 is an abundant number, since it is smaller than the sum of its proper divisors (267733092633468).

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

100211200112100 is a wasteful number, since it uses less digits than its factorization.

100211200112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619735355 (or 619735341 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100211200112100 its reverse (1211002112001), we get a palindrome (101422202224101).

The spelling of 100211200112100 in words is "one hundred trillion, two hundred eleven billion, two hundred million, one hundred twelve thousand, one hundred".