100520125020 has 144 divisors (see below), whose sum is σ = 348815533248. Its totient is φ = 22953231360.

The previous prime is 100520124997. The next prime is 100520125073. The reversal of 100520125020 is 20521025001.

100520125020 is a `hidden beast` number, since 1 + 0 + 0 + 520 + 125 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100520124984 and 100520125002.

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, 1247392 + ... + 1325528.

It is an arithmetic number, because the mean of its divisors is an integer number (2422330092).

Almost surely, 2^100520125020 is an apocalyptic number.

100520125020 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 100520125020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174407766624).

100520125020 is an abundant number, since it is smaller than the sum of its proper divisors (248295408228).

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

100520125020 is a wasteful number, since it uses less digits than its factorization.

100520125020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79180 (or 79175 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The spelling of 100520125020 in words is "one hundred billion, five hundred twenty million, one hundred twenty-five thousand, twenty".