100111100001100 has 72 divisors (see below), whose sum is σ = 218375987642960. Its totient is φ = 39835259412480.

The previous prime is 100111100001097. The next prime is 100111100001131. The reversal of 100111100001100 is 1100001111001.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 515463811 + ... + 515657989.

Almost surely, 2^{100111100001100} is an apocalyptic number.

100111100001100 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 100111100001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109187993821480).

100111100001100 is an abundant number, since it is smaller than the sum of its proper divisors (118264887641860).

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

100111100001100 is a wasteful number, since it uses less digits than its factorization.

100111100001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221099 (or 221092 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100111100001100 its reverse (1100001111001), we get a palindrome (101211101112101).

The spelling of 100111100001100 in words is "one hundred trillion, one hundred eleven billion, one hundred million, one thousand, one hundred".