111101102101 has 4 divisors (see below), whose sum is σ = 121201202304. Its totient is φ = 101001001900.

The previous prime is 111101102083. The next prime is 111101102107. The reversal of 111101102101 is 101201101111.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 111101102101 - 2⁵ = 111101102069 is a prime.

It is a super-2 number, since 2×111101102101² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111101102107) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5050050085 + ... + 5050050106.

It is an arithmetic number, because the mean of its divisors is an integer number (30300300576).

Almost surely, 2^111101102101 is an apocalyptic number.

111101102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

111101102101 is a deficient number, since it is larger than the sum of its proper divisors (10100100203).

111101102101 is a wasteful number, since it uses less digits than its factorization.

111101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10100100202.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 111101102101 its reverse (101201101111), we get a palindrome (212302203212).

The spelling of 111101102101 in words is "one hundred eleven billion, one hundred one million, one hundred two thousand, one hundred one".