100100110099990 has 256 divisors, whose sum is σ = 244102078918656. Its totient is φ = 28778487598080.

The previous prime is 100100110099981. The next prime is 100100110099991. The reversal of 100100110099990 is 99990011001001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100110099991) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1655693842 + ... + 1655754298.

It is an arithmetic number, because the mean of its divisors is an integer number (953523745776).

Almost surely, 2^{100100110099990} is an apocalyptic number.

100100110099990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100110099990 is an abundant number, since it is smaller than the sum of its proper divisors (144001968818666).

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

100100110099990 is a wasteful number, since it uses less digits than its factorization.

100100110099990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61884 (or 61862 counting only the distinct ones).

The product of its (nonzero) digits is 6561, while the sum is 40.

The spelling of 100100110099990 in words is "one hundred trillion, one hundred billion, one hundred ten million, ninety-nine thousand, nine hundred ninety".