110002110120100 has 108 divisors (see below), whose sum is σ = 267328285683732. Its totient is φ = 39246035628800.

The previous prime is 110002110120083. The next prime is 110002110120137. The reversal of 110002110120100 is 1021011200011.

110002110120100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 10614290329764 + 99387819790336 = 3257958^2 + 9969344^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 85123639 + ... + 86406238.

It is an arithmetic number, because the mean of its divisors is an integer number (2475261904479).

Almost surely, 2^{110002110120100} is an apocalyptic number.

110002110120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110002110120100 is an abundant number, since it is smaller than the sum of its proper divisors (157326175563632).

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

110002110120100 is a wasteful number, since it uses less digits than its factorization.

110002110120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171529966 (or 171529948 counting only the distinct ones).

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

Adding to 110002110120100 its reverse (1021011200011), we get a palindrome (111023121320111).

The spelling of 110002110120100 in words is "one hundred ten trillion, two billion, one hundred ten million, one hundred twenty thousand, one hundred".