100601266528 has 72 divisors (see below), whose sum is σ = 230734648872. Its totient is φ = 43051244544.

The previous prime is 100601266511. The next prime is 100601266529. The reversal of 100601266528 is 825662106001.

It is a super-2 number, since 2×100601266528² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100601266529) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1023976 + ... + 1117912.

It is an arithmetic number, because the mean of its divisors is an integer number (3204647901).

Almost surely, 2^100601266528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100601266528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115367324436).

100601266528 is an abundant number, since it is smaller than the sum of its proper divisors (130133382344).

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

100601266528 is an equidigital number, since it uses as much as digits as its factorization.

100601266528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94644 (or 94629 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 100601266528 in words is "one hundred billion, six hundred one million, two hundred sixty-six thousand, five hundred twenty-eight".