101346099726400 has 63 divisors (see below), whose sum is σ = 249375737495559. Its totient is φ = 40538278817280.

The previous prime is 101346099726359. The next prime is 101346099726409. The reversal of 101346099726400 is 4627990643101.

The square root of 101346099726400 is 10067080.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 26771683346496 + 74574416379904 = 5174136^2 + 8635648^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101346099726409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 402557362 + ... + 402809038.

Almost surely, 2^{101346099726400} is an apocalyptic number.

101346099726400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101346099726400 is the 10067080-th square number.

It is an amenable number.

101346099726400 is an abundant number, since it is smaller than the sum of its proper divisors (148029637769159).

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

101346099726400 is an frugal number, since it uses more digits than its factorization.

101346099726400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503376 (or 251684 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 52.

The spelling of 101346099726400 in words is "one hundred one trillion, three hundred forty-six billion, ninety-nine million, seven hundred twenty-six thousand, four hundred".