120413102410100 has 144 divisors (see below), whose sum is σ = 276895752037632. Its totient is φ = 45360070947840.

The previous prime is 120413102410087. The next prime is 120413102410127. The reversal of 120413102410100 is 1014201314021.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39514664 + ... + 42452736.

It is an arithmetic number, because the mean of its divisors is an integer number (1922887166928).

Almost surely, 2^{120413102410100} is an apocalyptic number.

120413102410100 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 120413102410100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138447876018816).

120413102410100 is an abundant number, since it is smaller than the sum of its proper divisors (156482649627532).

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

120413102410100 is a wasteful number, since it uses less digits than its factorization.

120413102410100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2938386 (or 2938379 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 120413102410100 its reverse (1014201314021), we get a palindrome (121427303724121).

The spelling of 120413102410100 in words is "one hundred twenty trillion, four hundred thirteen billion, one hundred two million, four hundred ten thousand, one hundred".