101312142472257 has 8 divisors (see below), whose sum is σ = 138377560450080. Its totient is φ = 65894076404640.

The previous prime is 101312142472241. The next prime is 101312142472291. The reversal of 101312142472257 is 752274241213101.

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

It is not a de Polignac number, because 101312142472257 - 2⁴ = 101312142472241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101312142472217) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 411837977407 + ... + 411837977652.

It is an arithmetic number, because the mean of its divisors is an integer number (17297195056260).

Almost surely, 2^{101312142472257} is an apocalyptic number.

It is an amenable number.

101312142472257 is a deficient number, since it is larger than the sum of its proper divisors (37065417977823).

101312142472257 is an equidigital number, since it uses as much as digits as its factorization.

101312142472257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823675955103.

The product of its (nonzero) digits is 188160, while the sum is 42.

Adding to 101312142472257 its reverse (752274241213101), we get a palindrome (853586383685358).

The spelling of 101312142472257 in words is "one hundred one trillion, three hundred twelve billion, one hundred forty-two million, four hundred seventy-two thousand, two hundred fifty-seven".