101121320257 has 2 divisors, whose sum is σ = 101121320258. Its totient is φ = 101121320256.

The previous prime is 101121320239. The next prime is 101121320369. The reversal of 101121320257 is 752023121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101016544561 + 104775696 = 317831^2 + 10236^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101121320257 is a prime.

It is not a weakly prime, because it can be changed into another prime (101121320057) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560660128 + 50560660129.

It is an arithmetic number, because the mean of its divisors is an integer number (50560660129).

Almost surely, 2^101121320257 is an apocalyptic number.

It is an amenable number.

101121320257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121320257 is an equidigital number, since it uses as much as digits as its factorization.

101121320257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840, while the sum is 25.

Adding to 101121320257 its reverse (752023121101), we get a palindrome (853144441358).

The spelling of 101121320257 in words is "one hundred one billion, one hundred twenty-one million, three hundred twenty thousand, two hundred fifty-seven".