101332142257 has 2 divisors, whose sum is σ = 101332142258. Its totient is φ = 101332142256.

The previous prime is 101332142213. The next prime is 101332142279. The reversal of 101332142257 is 752241233101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 54156736656 + 47175405601 = 232716^2 + 217199^2 .

It is a cyclic number.

It is not a de Polignac number, because 101332142257 - 2⁷ = 101332142129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101332142557) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50666071128 + 50666071129.

It is an arithmetic number, because the mean of its divisors is an integer number (50666071129).

Almost surely, 2^101332142257 is an apocalyptic number.

It is an amenable number.

101332142257 is a deficient number, since it is larger than the sum of its proper divisors (1).

101332142257 is an equidigital number, since it uses as much as digits as its factorization.

101332142257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 101332142257 its reverse (752241233101), we get a palindrome (853573375358).

The spelling of 101332142257 in words is "one hundred one billion, three hundred thirty-two million, one hundred forty-two thousand, two hundred fifty-seven".