101101100000520 has 64 divisors (see below), whose sum is σ = 303310541952000. Its totient is φ = 26959649604608.

The previous prime is 101101100000519. The next prime is 101101100000521. The reversal of 101101100000520 is 25000001101101.

It is an interprime number because it is at equal distance from previous prime (101101100000519) and next prime (101101100000521).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101101100000496 and 101101100000505.

It is not an unprimeable number, because it can be changed into a prime (101101100000521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5001000 + ... + 15073559.

It is an arithmetic number, because the mean of its divisors is an integer number (4739227218000).

Almost surely, 2^{101101100000520} is an apocalyptic number.

101101100000520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101100000520 is an abundant number, since it is smaller than the sum of its proper divisors (202209441951480).

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

101101100000520 is a wasteful number, since it uses less digits than its factorization.

101101100000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20116542 (or 20116538 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 101101100000520 its reverse (25000001101101), we get a palindrome (126101101101621).

The spelling of 101101100000520 in words is "one hundred one trillion, one hundred one billion, one hundred million, five hundred twenty", and thus it is an aban number.