1001005056101 has 2 divisors, whose sum is σ = 1001005056102. Its totient is φ = 1001005056100.

The previous prime is 1001005056091. The next prime is 1001005056119. The reversal of 1001005056101 is 1016505001001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 509953092100 + 491051964001 = 714110^2 + 700751^2 .

It is a cyclic number.

It is not a de Polignac number, because 1001005056101 - 2¹⁴ = 1001005039717 is a prime.

It is a super-2 number, since 2×1001005056101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1001005055101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500502528050 + 500502528051.

It is an arithmetic number, because the mean of its divisors is an integer number (500502528051).

Almost surely, 2^{1001005056101} is an apocalyptic number.

It is an amenable number.

1001005056101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001005056101 is an equidigital number, since it uses as much as digits as its factorization.

1001005056101 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 1001005056101 in words is "one trillion, one billion, five million, fifty-six thousand, one hundred one".