211101100112001 has 16 divisors (see below), whose sum is σ = 307168661741760. Its totient is φ = 127893178955520.

The previous prime is 211101100111991. The next prime is 211101100112017. The reversal of 211101100112001 is 100211001101112.

It is not a de Polignac number, because 211101100112001 - 2²⁵ = 211101066557569 is a prime.

It is a super-2 number, since 2×211101100112001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211101100117001) 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, 1171951540 + ... + 1172131653.

It is an arithmetic number, because the mean of its divisors is an integer number (19198041358860).

Almost surely, 2^{211101100112001} is an apocalyptic number.

It is an amenable number.

211101100112001 is a deficient number, since it is larger than the sum of its proper divisors (96067561629759).

211101100112001 is a wasteful number, since it uses less digits than its factorization.

211101100112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2344085936.

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

Adding to 211101100112001 its reverse (100211001101112), we get a palindrome (311312101213113).

The spelling of 211101100112001 in words is "two hundred eleven trillion, one hundred one billion, one hundred million, one hundred twelve thousand, one".