101320456457 has 32 divisors (see below), whose sum is σ = 116847360000. Its totient is φ = 86888730240.

The previous prime is 101320456427. The next prime is 101320456459. The reversal of 101320456457 is 754654023101.

It is a cyclic number.

It is not a de Polignac number, because 101320456457 - 2¹⁶ = 101320390921 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101320456457.

It is not an unprimeable number, because it can be changed into a prime (101320456459) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62970269 + ... + 62971877.

It is an arithmetic number, because the mean of its divisors is an integer number (3651480000).

Almost surely, 2^101320456457 is an apocalyptic number.

It is an amenable number.

101320456457 is a deficient number, since it is larger than the sum of its proper divisors (15526903543).

101320456457 is a wasteful number, since it uses less digits than its factorization.

101320456457 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741.

The product of its (nonzero) digits is 100800, while the sum is 38.

Adding to 101320456457 its reverse (754654023101), we get a palindrome (855974479558).

The spelling of 101320456457 in words is "one hundred one billion, three hundred twenty million, four hundred fifty-six thousand, four hundred fifty-seven".