123121103055210 has 96 divisors (see below), whose sum is σ = 350390549225808. Its totient is φ = 29809901352960.

The previous prime is 123121103055199. The next prime is 123121103055221. The reversal of 123121103055210 is 12550301121321.

123121103055210 is a `hidden beast` number, since 1 + 2 + 3 + 1 + 2 + 1 + 103 + 0 + 552 + 1 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (123121103055199) and next prime (123121103055221).

It can be written as a sum of positive squares in 8 ways, for example, as 12596188890321 + 110524914164889 = 3549111^2 + 10513083^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 862483647 + ... + 862626386.

Almost surely, 2^{123121103055210} is an apocalyptic number.

123121103055210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

123121103055210 is an abundant number, since it is smaller than the sum of its proper divisors (227269446170598).

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

123121103055210 is a wasteful number, since it uses less digits than its factorization.

123121103055210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1725110120 (or 1725110117 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 123121103055210 its reverse (12550301121321), we get a palindrome (135671404176531).

The spelling of 123121103055210 in words is "one hundred twenty-three trillion, one hundred twenty-one billion, one hundred three million, fifty-five thousand, two hundred ten".