110010022102120 has 96 divisors (see below), whose sum is σ = 287938160634600. Its totient is φ = 37717228534272.

The previous prime is 110010022102069. The next prime is 110010022102177. The reversal of 110010022102120 is 21201220010011.

It can be written as a sum of positive squares in 4 ways, for example, as 109023627507844 + 986394594276 = 10441438^2 + 993174^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 110010022102120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 169594566 + ... + 170241994.

Almost surely, 2^{110010022102120} is an apocalyptic number.

110010022102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110010022102120 is an abundant number, since it is smaller than the sum of its proper divisors (177928138532480).

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

110010022102120 is a wasteful number, since it uses less digits than its factorization.

110010022102120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734147 (or 734136 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110010022102120 its reverse (21201220010011), we get a palindrome (131211242112131).

The spelling of 110010022102120 in words is "one hundred ten trillion, ten billion, twenty-two million, one hundred two thousand, one hundred twenty".