110100201000 has 128 divisors (see below), whose sum is σ = 346914696960. Its totient is φ = 29069280000.

The previous prime is 110100200981. The next prime is 110100201011. The reversal of 110100201000 is 102001011.

110100201000 is digitally balanced in base 3, 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 (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 110100201000.

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, 121317 + ... + 484683.

It is an arithmetic number, because the mean of its divisors is an integer number (2710271070).

Almost surely, 2^110100201000 is an apocalyptic number.

110100201000 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 110100201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173457348480).

110100201000 is an abundant number, since it is smaller than the sum of its proper divisors (236814495960).

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

110100201000 is a wasteful number, since it uses less digits than its factorization.

110100201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363492 (or 363478 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 110100201000 its reverse (102001011), we get a palindrome (110202202011).

The spelling of 110100201000 in words is "one hundred ten billion, one hundred million, two hundred one thousand".