100211101112001 has 96 divisors (see below), whose sum is σ = 156126356305920. Its totient is φ = 56967984944640.

The previous prime is 100211101111939. The next prime is 100211101112009.

100211101112001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100211101112001 - 2⁷ = 100211101111873 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 5062946761 + ... + 5062966553.

It is an arithmetic number, because the mean of its divisors is an integer number (1626316211520).

Almost surely, 2^{100211101112001} is an apocalyptic number.

100211101112001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100211101112001 is a deficient number, since it is larger than the sum of its proper divisors (55915255193919).

100211101112001 is a wasteful number, since it uses less digits than its factorization.

100211101112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27067 (or 27056 counting only the distinct ones).

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

It can be divided in two parts, 10021110 and 1112001, that added together give a palindrome (11133111).

The spelling of 100211101112001 in words is "one hundred trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, one".