100101100099940 has 96 divisors (see below), whose sum is σ = 216352838540160. Its totient is φ = 38880122803200.

The previous prime is 100101100099939. The next prime is 100101100099967. The reversal of 100101100099940 is 49990001101001.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 100101100099940.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565317059 + ... + 565494101.

It is an arithmetic number, because the mean of its divisors is an integer number (2253675401460).

Almost surely, 2^{100101100099940} is an apocalyptic number.

100101100099940 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 100101100099940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108176419270080).

100101100099940 is an abundant number, since it is smaller than the sum of its proper divisors (116251738440220).

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

100101100099940 is a wasteful number, since it uses less digits than its factorization.

100101100099940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180333 (or 180331 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 35.

The spelling of 100101100099940 in words is "one hundred trillion, one hundred one billion, one hundred million, ninety-nine thousand, nine hundred forty".