101144362145 has 8 divisors (see below), whose sum is σ = 121375706280. Its totient is φ = 80913841920.

The previous prime is 101144362127. The next prime is 101144362181. The reversal of 101144362145 is 541263441101.

It can be written as a sum of positive squares in 4 ways, for example, as 38547824896 + 62596537249 = 196336^2 + 250193^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-101144362145 is a prime.

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 7 ways as a sum of consecutive naturals, for example, 107465 + ... + 462425.

It is an arithmetic number, because the mean of its divisors is an integer number (15171963285).

Almost surely, 2^101144362145 is an apocalyptic number.

It is an amenable number.

101144362145 is a deficient number, since it is larger than the sum of its proper divisors (20231344135).

101144362145 is an equidigital number, since it uses as much as digits as its factorization.

101144362145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411955.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 101144362145 in words is "one hundred one billion, one hundred forty-four million, three hundred sixty-two thousand, one hundred forty-five".