100211101110120 has 512 divisors, whose sum is σ = 424892127744000. Its totient is φ = 18209661788160.

The previous prime is 100211101110053. The next prime is 100211101110151. The reversal of 100211101110120 is 21011101112001.

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

It is a junction number, because it is equal to n+sod(n) for n = 100211101110096 and 100211101110105.

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 127 ways as a sum of consecutive naturals, for example, 19671885 + ... + 24236444.

It is an arithmetic number, because the mean of its divisors is an integer number (829867437000).

Almost surely, 2^{100211101110120} is an apocalyptic number.

100211101110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211101110120 is an abundant number, since it is smaller than the sum of its proper divisors (324681026633880).

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

100211101110120 is a wasteful number, since it uses less digits than its factorization.

100211101110120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43908393 (or 43908389 counting only the distinct ones).

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

Adding to 100211101110120 its reverse (21011101112001), we get a palindrome (121222202222121).

The spelling of 100211101110120 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, one hundred ten thousand, one hundred twenty".