100111000011600 has 480 divisors, whose sum is σ = 332379256616064. Its totient is φ = 25739760435200.

The previous prime is 100111000011587. The next prime is 100111000011601. The reversal of 100111000011600 is 6110000111001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111000011601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1929155254 + ... + 1929207146.

Almost surely, 2^{100111000011600} is an apocalyptic number.

100111000011600 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 100111000011600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166189628308032).

100111000011600 is an abundant number, since it is smaller than the sum of its proper divisors (232268256604464).

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

100111000011600 is a wasteful number, since it uses less digits than its factorization.

100111000011600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52415 (or 52404 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100111000011600 its reverse (6110000111001), we get a palindrome (106221000122601).

The spelling of 100111000011600 in words is "one hundred trillion, one hundred eleven billion, eleven thousand, six hundred".