211201101102111 has 64 divisors (see below), whose sum is σ = 300413061273600. Its totient is φ = 131709854859264.

The previous prime is 211201101102067. The next prime is 211201101102137. The reversal of 211201101102111 is 111201101102112.

It is not a de Polignac number, because 211201101102111 - 2²⁶ = 211201033993247 is a prime.

It is a super-2 number, since 2×211201101102111² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211201101102191) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 204526830 + ... + 205556868.

It is an arithmetic number, because the mean of its divisors is an integer number (4693954082400).

Almost surely, 2^{211201101102111} is an apocalyptic number.

211201101102111 is a deficient number, since it is larger than the sum of its proper divisors (89211960171489).

211201101102111 is a wasteful number, since it uses less digits than its factorization.

211201101102111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030520.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 211201101102111 its reverse (111201101102112), we get a palindrome (322402202204223).

Subtracting from 211201101102111 its reverse (111201101102112), we obtain a palindrome (99999999999999).

The spelling of 211201101102111 in words is "two hundred eleven trillion, two hundred one billion, one hundred one million, one hundred two thousand, one hundred eleven".