100109991130900 has 144 divisors (see below), whose sum is σ = 231877010921472. Its totient is φ = 37383897600000.

The previous prime is 100109991130861. The next prime is 100109991130921. The reversal of 100109991130900 is 9031199901001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1090465000 + ... + 1090556800.

It is an arithmetic number, because the mean of its divisors is an integer number (1610257020288).

Almost surely, 2^{100109991130900} is an apocalyptic number.

100109991130900 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 100109991130900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115938505460736).

100109991130900 is an abundant number, since it is smaller than the sum of its proper divisors (131767019790572).

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

100109991130900 is a wasteful number, since it uses less digits than its factorization.

100109991130900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97010 (or 97003 counting only the distinct ones).

The product of its (nonzero) digits is 19683, while the sum is 43.

The spelling of 100109991130900 in words is "one hundred trillion, one hundred nine billion, nine hundred ninety-one million, one hundred thirty thousand, nine hundred".