100211101112000 has 112 divisors (see below), whose sum is σ = 251162827205472. Its totient is φ = 39601495116800.

The previous prime is 100211101111939. The next prime is 100211101112009. The reversal of 100211101112000 is 211101112001.

It is not an unprimeable number, because it can be changed into a prime (100211101112009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74796167 + ... + 76124166.

It is an arithmetic number, because the mean of its divisors is an integer number (2242525242906).

Almost surely, 2^{100211101112000} is an apocalyptic number.

100211101112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100211101112000 is an abundant number, since it is smaller than the sum of its proper divisors (150951726093472).

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

100211101112000 is an equidigital number, since it uses as much as digits as its factorization.

100211101112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150920443 (or 150920423 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100211101112000 its reverse (211101112001), we get a palindrome (100422202224001).

Subtracting from 100211101112000 its reverse (211101112001), we obtain a palindrome (99999999999999).

The spelling of 100211101112000 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand".