100601405130 has 64 divisors (see below), whose sum is σ = 250510890240. Its totient is φ = 25825035264.

The previous prime is 100601405119. The next prime is 100601405141. The reversal of 100601405130 is 31504106001.

It is an interprime number because it is at equal distance from previous prime (100601405119) and next prime (100601405141).

It is a junction number, because it is equal to n+sod(n) for n = 100601405097 and 100601405106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121627 + ... + 464753.

It is an arithmetic number, because the mean of its divisors is an integer number (3914232660).

Almost surely, 2^100601405130 is an apocalyptic number.

100601405130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100601405130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125255445120).

100601405130 is an abundant number, since it is smaller than the sum of its proper divisors (149909485110).

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

100601405130 is a wasteful number, since it uses less digits than its factorization.

100601405130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 343503.

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 100601405130 in words is "one hundred billion, six hundred one million, four hundred five thousand, one hundred thirty".