111100211102101 has 24 divisors (see below), whose sum is σ = 120721593023136. Its totient is φ = 102197913554880.

The previous prime is 111100211102093. The next prime is 111100211102119. The reversal of 111100211102101 is 101201112001111.

It is not a de Polignac number, because 111100211102101 - 2³ = 111100211102093 is a prime.

It is a super-2 number, since 2×111100211102101² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100211102131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 969039886 + ... + 969154528.

It is an arithmetic number, because the mean of its divisors is an integer number (5030066375964).

Almost surely, 2^{111100211102101} is an apocalyptic number.

It is an amenable number.

111100211102101 is a deficient number, since it is larger than the sum of its proper divisors (9621381921035).

111100211102101 is a wasteful number, since it uses less digits than its factorization.

111100211102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134533 (or 134520 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 111100211102101 its reverse (101201112001111), we get a palindrome (212301323103212).

The spelling of 111100211102101 in words is "one hundred eleven trillion, one hundred billion, two hundred eleven million, one hundred two thousand, one hundred one".