101065000520 has 128 divisors (see below), whose sum is σ = 254464934400. Its totient is φ = 35810227200.

The previous prime is 101065000513. The next prime is 101065000541. The reversal of 101065000520 is 25000560101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 101065000492 and 101065000501.

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, 4725050 + ... + 4746390.

It is an arithmetic number, because the mean of its divisors is an integer number (1988007300).

Almost surely, 2^101065000520 is an apocalyptic number.

101065000520 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 101065000520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127232467200).

101065000520 is an abundant number, since it is smaller than the sum of its proper divisors (153399933880).

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

101065000520 is a wasteful number, since it uses less digits than its factorization.

101065000520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21639 (or 21635 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

Adding to 101065000520 its reverse (25000560101), we get a palindrome (126065560621).

The spelling of 101065000520 in words is "one hundred one billion, sixty-five million, five hundred twenty", and thus it is an aban number.