100111001120100 has 144 divisors (see below), whose sum is σ = 332936203219200. Its totient is φ = 25775706015360.

The previous prime is 100111001120021. The next prime is 100111001120147. The reversal of 100111001120100 is 1021100111001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 639200124 + ... + 639356723.

It is an arithmetic number, because the mean of its divisors is an integer number (2312056966800).

Almost surely, 2^{100111001120100} is an apocalyptic number.

100111001120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111001120100 is an abundant number, since it is smaller than the sum of its proper divisors (232825202099100).

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

100111001120100 is a wasteful number, since it uses less digits than its factorization.

100111001120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1278556899 (or 1278556886 counting only the distinct ones).

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

Adding to 100111001120100 its reverse (1021100111001), we get a palindrome (101132101231101).

The spelling of 100111001120100 in words is "one hundred trillion, one hundred eleven billion, one million, one hundred twenty thousand, one hundred".