10001010111061 has 2 divisors, whose sum is σ = 10001010111062. Its totient is φ = 10001010111060.

The previous prime is 10001010111049. The next prime is 10001010111073. The reversal of 10001010111061 is 16011101010001.

It is a balanced prime because it is at equal distance from previous prime (10001010111049) and next prime (10001010111073).

It can be written as a sum of positive squares in only one way, i.e., 6435404976100 + 3565605134961 = 2536810^2 + 1888281^2 .

It is a cyclic number.

It is not a de Polignac number, because 10001010111061 - 2³⁷ = 9863571157589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001010117061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000505055530 + 5000505055531.

It is an arithmetic number, because the mean of its divisors is an integer number (5000505055531).

Almost surely, 2^{10001010111061} is an apocalyptic number.

It is an amenable number.

10001010111061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001010111061 is an equidigital number, since it uses as much as digits as its factorization.

10001010111061 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 13.

Adding to 10001010111061 its reverse (16011101010001), we get a palindrome (26012111121062).

The spelling of 10001010111061 in words is "ten trillion, one billion, ten million, one hundred eleven thousand, sixty-one".