101257391377 has 2 divisors, whose sum is σ = 101257391378. Its totient is φ = 101257391376.

The previous prime is 101257391357. The next prime is 101257391387. The reversal of 101257391377 is 773193752101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100234926801 + 1022464576 = 316599^2 + 31976^2 .

It is a cyclic number.

It is not a de Polignac number, because 101257391377 - 2²³ = 101249002769 is a prime.

It is a super-2 number, since 2×101257391377² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101257391357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50628695688 + 50628695689.

It is an arithmetic number, because the mean of its divisors is an integer number (50628695689).

Almost surely, 2^101257391377 is an apocalyptic number.

It is an amenable number.

101257391377 is a deficient number, since it is larger than the sum of its proper divisors (1).

101257391377 is an equidigital number, since it uses as much as digits as its factorization.

101257391377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 277830, while the sum is 46.

The spelling of 101257391377 in words is "one hundred one billion, two hundred fifty-seven million, three hundred ninety-one thousand, three hundred seventy-seven".