111116161100 has 72 divisors (see below), whose sum is σ = 275733789408. Its totient is φ = 38074060800.

The previous prime is 111116161081. The next prime is 111116161109. The reversal of 111116161100 is 1161611111.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (111116161109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1138220 + ... + 1231980.

It is an arithmetic number, because the mean of its divisors is an integer number (3829635964).

Almost surely, 2^111116161100 is an apocalyptic number.

111116161100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111116161100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137866894704).

111116161100 is an abundant number, since it is smaller than the sum of its proper divisors (164617628308).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111116161100 is a wasteful number, since it uses less digits than its factorization.

111116161100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95475 (or 95468 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 20.

Adding to 111116161100 its reverse (1161611111), we get a palindrome (112277772211).

The spelling of 111116161100 in words is "one hundred eleven billion, one hundred sixteen million, one hundred sixty-one thousand, one hundred".