100211002112100 has 144 divisors (see below), whose sum is σ = 318916433416896. Its totient is φ = 24293576172800.

The previous prime is 100211002112099. The next prime is 100211002112141. The reversal of 100211002112100 is 1211200112001.

It is a super-2 number, since 2×100211002112100² (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 125084049 + ... + 125882648.

It is an arithmetic number, because the mean of its divisors is an integer number (2214697454284).

Almost surely, 2^{100211002112100} is an apocalyptic number.

100211002112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211002112100 is an abundant number, since it is smaller than the sum of its proper divisors (218705431304796).

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

100211002112100 is a wasteful number, since it uses less digits than its factorization.

100211002112100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250966747 (or 250966718 counting only the distinct ones).

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

Adding to 100211002112100 its reverse (1211200112001), we get a palindrome (101422202224101).

The spelling of 100211002112100 in words is "one hundred trillion, two hundred eleven billion, two million, one hundred twelve thousand, one hundred".