100110101099946 has 192 divisors, whose sum is σ = 246593640038400. Its totient is φ = 26961646884480.

The previous prime is 100110101099941. The next prime is 100110101099947. The reversal of 100110101099946 is 649990101011001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100110101099898 and 100110101099907.

It is not an unprimeable number, because it can be changed into a prime (100110101099941) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 127566141 + ... + 128348511.

It is an arithmetic number, because the mean of its divisors is an integer number (1284341875200).

Almost surely, 2^{100110101099946} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110101099946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123296820019200).

100110101099946 is an abundant number, since it is smaller than the sum of its proper divisors (146483538938454).

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

100110101099946 is a wasteful number, since it uses less digits than its factorization.

100110101099946 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782689 (or 782682 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 42.

The spelling of 100110101099946 in words is "one hundred trillion, one hundred ten billion, one hundred one million, ninety-nine thousand, nine hundred forty-six".