101297438592 has 128 divisors (see below), whose sum is σ = 307954483200. Its totient is φ = 28900300800.

The previous prime is 101297438479. The next prime is 101297438609. The reversal of 101297438592 is 295834792101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101297438592² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1857409 + ... + 1911167.

It is an arithmetic number, because the mean of its divisors is an integer number (2405894400).

Almost surely, 2^101297438592 is an apocalyptic number.

101297438592 is a gapful number since it is divisible by the number (12) 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 101297438592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153977241600).

101297438592 is an abundant number, since it is smaller than the sum of its proper divisors (206657044608).

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

101297438592 is an equidigital number, since it uses as much as digits as its factorization.

101297438592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54484 (or 54472 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 101297438592 in words is "one hundred one billion, two hundred ninety-seven million, four hundred thirty-eight thousand, five hundred ninety-two".