101009499264 has 192 divisors, whose sum is σ = 301154330880. Its totient is φ = 32462899200.

The previous prime is 101009499263. The next prime is 101009499281. The reversal of 101009499264 is 462994900101.

101009499264 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (101009499263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9887119 + ... + 9897329.

It is an arithmetic number, because the mean of its divisors is an integer number (1568512140).

Almost surely, 2^101009499264 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 101009499264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150577165440).

101009499264 is an abundant number, since it is smaller than the sum of its proper divisors (200144831616).

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

101009499264 is a wasteful number, since it uses less digits than its factorization.

101009499264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10539 (or 10524 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 101009499264 in words is "one hundred one billion, nine million, four hundred ninety-nine thousand, two hundred sixty-four".