1001000109961 has 2 divisors, whose sum is σ = 1001000109962. Its totient is φ = 1001000109960.

The previous prime is 1001000109911. The next prime is 1001000109979. The reversal of 1001000109961 is 1699010001001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1000288020736 + 712089225 = 1000144^2 + 26685^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1001000109961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1001000109911) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500500054980 + 500500054981.

It is an arithmetic number, because the mean of its divisors is an integer number (500500054981).

Almost surely, 2^{1001000109961} is an apocalyptic number.

It is an amenable number.

1001000109961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001000109961 is an equidigital number, since it uses as much as digits as its factorization.

1001000109961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 486, while the sum is 28.

The spelling of 1001000109961 in words is "one trillion, one billion, one hundred nine thousand, nine hundred sixty-one".