901100000110100 has 144 divisors (see below), whose sum is σ = 2312684109993600. Its totient is φ = 298179492011520.

The previous prime is 901100000110099. The next prime is 901100000110103. The reversal of 901100000110100 is 1011000001109.

It is a happy number.

901100000110100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901100000110103) 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, 43747814 + ... + 60959586.

It is an arithmetic number, because the mean of its divisors is an integer number (16060306319400).

Almost surely, 2^{901100000110100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 901100000110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156342054996800).

901100000110100 is an abundant number, since it is smaller than the sum of its proper divisors (1411584109883500).

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

901100000110100 is a wasteful number, since it uses less digits than its factorization.

901100000110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17214402 (or 17214395 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 14.

Adding to 901100000110100 its reverse (1011000001109), we get a palindrome (902111000111209).

The spelling of 901100000110100 in words is "nine hundred one trillion, one hundred billion, one hundred ten thousand, one hundred".