100100605611100 has 144 divisors (see below), whose sum is σ = 244596800740320. Its totient is φ = 35333458329600.

The previous prime is 100100605611079. The next prime is 100100605611107. The reversal of 100100605611100 is 1116506001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100605611107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12841591 + ... + 19107790.

It is an arithmetic number, because the mean of its divisors is an integer number (1698588894030).

Almost surely, 2^{100100605611100} is an apocalyptic number.

100100605611100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100100605611100 is an abundant number, since it is smaller than the sum of its proper divisors (144496195129220).

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

100100605611100 is a wasteful number, since it uses less digits than its factorization.

100100605611100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31949528 (or 31949521 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 22.

The spelling of 100100605611100 in words is "one hundred trillion, one hundred billion, six hundred five million, six hundred eleven thousand, one hundred".