10061005005101 has 2 divisors, whose sum is σ = 10061005005102. Its totient is φ = 10061005005100.

The previous prime is 10061005005071. The next prime is 10061005005109. The reversal of 10061005005101 is 10150050016001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6116352211876 + 3944652793225 = 2473126^2 + 1986115^2 .

It is a cyclic number.

It is not a de Polignac number, because 10061005005101 - 2³⁴ = 10043825135917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10061005005109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5030502502550 + 5030502502551.

It is an arithmetic number, because the mean of its divisors is an integer number (5030502502551).

Almost surely, 2^{10061005005101} is an apocalyptic number.

It is an amenable number.

10061005005101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10061005005101 is an equidigital number, since it uses as much as digits as its factorization.

10061005005101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 10061005005101 in words is "ten trillion, sixty-one billion, five million, five thousand, one hundred one".