101405245251353 has 2 divisors, whose sum is σ = 101405245251354. Its totient is φ = 101405245251352.

The previous prime is 101405245251329. The next prime is 101405245251371. The reversal of 101405245251353 is 353152542504101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95352725176384 + 6052520074969 = 9764872^2 + 2460187^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101405245251353 is a prime.

It is a super-2 number, since 2×101405245251353² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101405245251353.

It is not a weakly prime, because it can be changed into another prime (101405245271353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50702622625676 + 50702622625677.

It is an arithmetic number, because the mean of its divisors is an integer number (50702622625677).

Almost surely, 2^{101405245251353} is an apocalyptic number.

It is an amenable number.

101405245251353 is a deficient number, since it is larger than the sum of its proper divisors (1).

101405245251353 is an equidigital number, since it uses as much as digits as its factorization.

101405245251353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 360000, while the sum is 41.

Adding to 101405245251353 its reverse (353152542504101), we get a palindrome (454557787755454).

The spelling of 101405245251353 in words is "one hundred one trillion, four hundred five billion, two hundred forty-five million, two hundred fifty-one thousand, three hundred fifty-three".