101538671249 has 2 divisors, whose sum is σ = 101538671250. Its totient is φ = 101538671248.

The previous prime is 101538671231. The next prime is 101538671261. The reversal of 101538671249 is 942176835101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91469953600 + 10068717649 = 302440^2 + 100343^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101538671249 is a prime.

It is not a weakly prime, because it can be changed into another prime (101538671449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50769335624 + 50769335625.

It is an arithmetic number, because the mean of its divisors is an integer number (50769335625).

It is a 1-persistent number, because it is pandigital, but 2⋅101538671249 = 203077342498 is not.

Almost surely, 2^101538671249 is an apocalyptic number.

It is an amenable number.

101538671249 is a deficient number, since it is larger than the sum of its proper divisors (1).

101538671249 is an equidigital number, since it uses as much as digits as its factorization.

101538671249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 362880, while the sum is 47.

The spelling of 101538671249 in words is "one hundred one billion, five hundred thirty-eight million, six hundred seventy-one thousand, two hundred forty-nine".