101009992712441 has 2 divisors, whose sum is σ = 101009992712442. Its totient is φ = 101009992712440.

The previous prime is 101009992712437. The next prime is 101009992712479. The reversal of 101009992712441 is 144217299900101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95221296259600 + 5788696452841 = 9758140^2 + 2405971^2 .

It is an emirp because it is prime and its reverse (144217299900101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101009992712441 - 2² = 101009992712437 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101009992712441.

It is not a weakly prime, because it can be changed into another prime (101009992742441) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50504996356220 + 50504996356221.

It is an arithmetic number, because the mean of its divisors is an integer number (50504996356221).

Almost surely, 2^{101009992712441} is an apocalyptic number.

It is an amenable number.

101009992712441 is a deficient number, since it is larger than the sum of its proper divisors (1).

101009992712441 is an equidigital number, since it uses as much as digits as its factorization.

101009992712441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 326592, while the sum is 50.

The spelling of 101009992712441 in words is "one hundred one trillion, nine billion, nine hundred ninety-two million, seven hundred twelve thousand, four hundred forty-one".