10142604101561 has 2 divisors, whose sum is σ = 10142604101562. Its totient is φ = 10142604101560.

The previous prime is 10142604101533. The next prime is 10142604101579. The reversal of 10142604101561 is 16510140624101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9870787851961 + 271816249600 = 3141781^2 + 521360^2 .

It is a cyclic number.

It is not a de Polignac number, because 10142604101561 - 2³⁴ = 10125424232377 is a prime.

It is a super-2 number, since 2×10142604101561² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10142304101561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5071302050780 + 5071302050781.

It is an arithmetic number, because the mean of its divisors is an integer number (5071302050781).

Almost surely, 2^{10142604101561} is an apocalyptic number.

It is an amenable number.

10142604101561 is a deficient number, since it is larger than the sum of its proper divisors (1).

10142604101561 is an equidigital number, since it uses as much as digits as its factorization.

10142604101561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5760, while the sum is 32.

Adding to 10142604101561 its reverse (16510140624101), we get a palindrome (26652744725662).

The spelling of 10142604101561 in words is "ten trillion, one hundred forty-two billion, six hundred four million, one hundred one thousand, five hundred sixty-one".