100211210111100 has 108 divisors (see below), whose sum is σ = 318699254662712. Its totient is φ = 24293626684800.

The previous prime is 100211210111081. The next prime is 100211210111147. The reversal of 100211210111100 is 1111012112001.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1380283399 + ... + 1380355998.

Almost surely, 2^{100211210111100} is an apocalyptic number.

100211210111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211210111100 is an abundant number, since it is smaller than the sum of its proper divisors (218488044551612).

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

100211210111100 is a wasteful number, since it uses less digits than its factorization.

100211210111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2760639436 (or 2760639418 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100211210111100 its reverse (1111012112001), we get a palindrome (101322222223101).

The spelling of 100211210111100 in words is "one hundred trillion, two hundred eleven billion, two hundred ten million, one hundred eleven thousand, one hundred".