110010102100 has 72 divisors (see below), whose sum is σ = 242202107448. Its totient is φ = 43363584000.

The previous prime is 110010102067. The next prime is 110010102119. The reversal of 110010102100 is 1201010011.

It can be written as a sum of positive squares in 12 ways, for example, as 17099746756 + 92910355344 = 130766^2 + 304812^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9316200 + ... + 9328000.

It is an arithmetic number, because the mean of its divisors is an integer number (3363918159).

Almost surely, 2^110010102100 is an apocalyptic number.

110010102100 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 110010102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121101053724).

110010102100 is an abundant number, since it is smaller than the sum of its proper divisors (132192005348).

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

110010102100 is a wasteful number, since it uses less digits than its factorization.

110010102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13165 (or 13158 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 110010102100 its reverse (1201010011), we get a palindrome (111211112111).

The spelling of 110010102100 in words is "one hundred ten billion, ten million, one hundred two thousand, one hundred".