110102001012100 has 36 divisors (see below), whose sum is σ = 239850997280244. Its totient is φ = 43869435412480.

The previous prime is 110102001012067. The next prime is 110102001012103. The reversal of 110102001012100 is 1210100201011.

It can be written as a sum of positive squares in 6 ways, for example, as 848373629184 + 109253627382916 = 921072^2 + 10452446^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (110102001012103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2142036577 + ... + 2142087976.

It is an arithmetic number, because the mean of its divisors is an integer number (6662527702229).

Almost surely, 2^{110102001012100} is an apocalyptic number.

110102001012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110102001012100 is an abundant number, since it is smaller than the sum of its proper divisors (129748996268144).

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

110102001012100 is a wasteful number, since it uses less digits than its factorization.

110102001012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4284124824 (or 4284124817 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110102001012100 its reverse (1210100201011), we get a palindrome (111312101213111).

The spelling of 110102001012100 in words is "one hundred ten trillion, one hundred two billion, one million, twelve thousand, one hundred".