1001056110101 has 2 divisors, whose sum is σ = 1001056110102. Its totient is φ = 1001056110100.

The previous prime is 1001056110007. The next prime is 1001056110161. The reversal of 1001056110101 is 1010116501001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 867414685201 + 133641424900 = 931351^2 + 365570^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001056110101 - 2³⁴ = 983876240917 is a prime.

It is a super-2 number, since 2×1001056110101² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1001056110101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001056110161) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500528055050 + 500528055051.

It is an arithmetic number, because the mean of its divisors is an integer number (500528055051).

Almost surely, 2^{1001056110101} is an apocalyptic number.

It is an amenable number.

1001056110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001056110101 is an equidigital number, since it uses as much as digits as its factorization.

1001056110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 30, while the sum is 17.

The spelling of 1001056110101 in words is "one trillion, one billion, fifty-six million, one hundred ten thousand, one hundred one".