111100102101 has 12 divisors (see below), whose sum is σ = 162411395328. Its totient is φ = 73174363944.

The previous prime is 111100102063. The next prime is 111100102121. The reversal of 111100102101 is 101201001111.

It is not a de Polignac number, because 111100102101 - 2²⁷ = 110965884373 is a prime.

It is a super-2 number, since 2×111100102101² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111100102121) 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 11 ways as a sum of consecutive naturals, for example, 74363445 + ... + 74364938.

It is an arithmetic number, because the mean of its divisors is an integer number (13534282944).

Almost surely, 2^111100102101 is an apocalyptic number.

It is an amenable number.

111100102101 is a deficient number, since it is larger than the sum of its proper divisors (51311293227).

111100102101 is a wasteful number, since it uses less digits than its factorization.

111100102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148728472 (or 148728469 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111100102101 its reverse (101201001111), we get a palindrome (212301103212).

The spelling of 111100102101 in words is "one hundred eleven billion, one hundred million, one hundred two thousand, one hundred one".