10101513664 has 84 divisors (see below), whose sum is σ = 22407600600. Its totient is φ = 4513569280.

The previous prime is 10101513661. The next prime is 10101513691. The reversal of 10101513664 is 46631510101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101513661) 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, 445842 + ... + 467950.

It is an arithmetic number, because the mean of its divisors is an integer number (266757150).

Almost surely, 2^10101513664 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 10101513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11203800300).

10101513664 is an abundant number, since it is smaller than the sum of its proper divisors (12306086936).

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

10101513664 is a wasteful number, since it uses less digits than its factorization.

10101513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22202 (or 22181 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The spelling of 10101513664 in words is "ten billion, one hundred one million, five hundred thirteen thousand, six hundred sixty-four".