10561105051001 has 2 divisors, whose sum is σ = 10561105051002. Its totient is φ = 10561105051000.

The previous prime is 10561105050967. The next prime is 10561105051027. The reversal of 10561105051001 is 10015050116501.

It is an a-pointer prime, because the next prime (10561105051027) can be obtained adding 10561105051001 to its sum of digits (26).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9751249044601 + 809856006400 = 3122699^2 + 899920^2 .

It is a cyclic number.

It is not a de Polignac number, because 10561105051001 - 2²² = 10561100856697 is a prime.

It is a super-2 number, since 2×10561105051001² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10561105053001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5280552525500 + 5280552525501.

It is an arithmetic number, because the mean of its divisors is an integer number (5280552525501).

Almost surely, 2^{10561105051001} is an apocalyptic number.

It is an amenable number.

10561105051001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10561105051001 is an equidigital number, since it uses as much as digits as its factorization.

10561105051001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 750, while the sum is 26.

Adding to 10561105051001 its reverse (10015050116501), we get a palindrome (20576155167502).

The spelling of 10561105051001 in words is "ten trillion, five hundred sixty-one billion, one hundred five million, fifty-one thousand, one".