1072312077101 has 2 divisors, whose sum is σ = 1072312077102. Its totient is φ = 1072312077100.

The previous prime is 1072312077013. The next prime is 1072312077103. The reversal of 1072312077101 is 1017702132701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1065645354601 + 6666722500 = 1032301^2 + 81650^2 .

It is an emirp because it is prime and its reverse (1017702132701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1072312077101 - 2³⁴ = 1055132207917 is a prime.

It is a super-2 number, since 2×1072312077101² (a number of 25 digits) contains 22 as substring.

It is a Sophie Germain prime.

Together with 1072312077103, it forms a pair of twin primes.

It is a Chen prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1072312077103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 536156038550 + 536156038551.

It is an arithmetic number, because the mean of its divisors is an integer number (536156038551).

Almost surely, 2^{1072312077101} is an apocalyptic number.

It is an amenable number.

1072312077101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1072312077101 is an equidigital number, since it uses as much as digits as its factorization.

1072312077101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4116, while the sum is 32.

The spelling of 1072312077101 in words is "one trillion, seventy-two billion, three hundred twelve million, seventy-seven thousand, one hundred one".