100561611520 has 72 divisors (see below), whose sum is σ = 243261713520. Its totient is φ = 39826329600.

The previous prime is 100561611511. The next prime is 100561611529. The reversal of 100561611520 is 25116165001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100561611511) and next prime (100561611529).

It is a super-2 number, since 2×100561611520² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100561611529) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 259650 + ... + 518209.

It is an arithmetic number, because the mean of its divisors is an integer number (3378634910).

Almost surely, 2^100561611520 is an apocalyptic number.

100561611520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100561611520 is an abundant number, since it is smaller than the sum of its proper divisors (142700102000).

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

100561611520 is an equidigital number, since it uses as much as digits as its factorization.

100561611520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777981 (or 777967 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 100561611520 its reverse (25116165001), we get a palindrome (125677776521).

The spelling of 100561611520 in words is "one hundred billion, five hundred sixty-one million, six hundred eleven thousand, five hundred twenty".