12410542100 has 72 divisors (see below), whose sum is σ = 29664643008. Its totient is φ = 4469068800.

The previous prime is 12410542091. The next prime is 12410542117. The reversal of 12410542100 is 124501421.

It is a happy number.

12410542100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 58532 + ... + 168068.

Almost surely, 2^12410542100 is an apocalyptic number.

12410542100 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 12410542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14832321504).

12410542100 is an abundant number, since it is smaller than the sum of its proper divisors (17254100908).

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

12410542100 is a wasteful number, since it uses less digits than its factorization.

12410542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109665 (or 109658 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The spelling of 12410542100 in words is "twelve billion, four hundred ten million, five hundred forty-two thousand, one hundred".