1012101105637 has 2 divisors, whose sum is σ = 1012101105638. Its totient is φ = 1012101105636.

The previous prime is 1012101105599. The next prime is 1012101105647. The reversal of 1012101105637 is 7365011012101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 921448326241 + 90652779396 = 959921^2 + 301086^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012101105637 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1012101105647) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506050552818 + 506050552819.

It is an arithmetic number, because the mean of its divisors is an integer number (506050552819).

Almost surely, 2^{1012101105637} is an apocalyptic number.

It is an amenable number.

1012101105637 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012101105637 is an equidigital number, since it uses as much as digits as its factorization.

1012101105637 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 28.

Adding to 1012101105637 its reverse (7365011012101), we get a palindrome (8377112117738).

The spelling of 1012101105637 in words is "one trillion, twelve billion, one hundred one million, one hundred five thousand, six hundred thirty-seven".