110100100010000 has 400 divisors, whose sum is σ = 283109999800320. Its totient is φ = 41375780160000.

The previous prime is 110100100009993. The next prime is 110100100010027. The reversal of 110100100010000 is 10001001011.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 20124307265 + ... + 20124312735.

Almost surely, 2^{110100100010000} is an apocalyptic number.

110100100010000 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 110100100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141554999900160).

110100100010000 is an abundant number, since it is smaller than the sum of its proper divisors (173009899790320).

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

110100100010000 is a wasteful number, since it uses less digits than its factorization.

110100100010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7064 (or 7043 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 110100100010000 its reverse (10001001011), we get a palindrome (110110101011011).

The spelling of 110100100010000 in words is "one hundred ten trillion, one hundred billion, one hundred million, ten thousand".