100111111100000 has 864 divisors, whose sum is σ = 336674426895072. Its totient is φ = 28802995200000.

The previous prime is 100111111099949. The next prime is 100111111100009. The reversal of 100111111100000 is 1111111001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111111100009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 700628564 + ... + 700771436.

It is an arithmetic number, because the mean of its divisors is an integer number (389669475573).

Almost surely, 2^{100111111100000} is an apocalyptic number.

100111111100000 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 100111111100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168337213447536).

100111111100000 is an abundant number, since it is smaller than the sum of its proper divisors (236563315795072).

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

100111111100000 is a wasteful number, since it uses less digits than its factorization.

100111111100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142946 (or 142911 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 100111111100000 its reverse (1111111001), we get a palindrome (100112222211001).

It can be divided in two parts, 10011111 and 1100000, that added together give a palindrome (11111111).

The spelling of 100111111100000 in words is "one hundred trillion, one hundred eleven billion, one hundred eleven million, one hundred thousand".