1012001011961 has 2 divisors, whose sum is σ = 1012001011962. Its totient is φ = 1012001011960.

The previous prime is 1012001011939. The next prime is 1012001012041. The reversal of 1012001011961 is 1691101002101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 992551920361 + 19449091600 = 996269^2 + 139460^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1012001011961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1012001011061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506000505980 + 506000505981.

It is an arithmetic number, because the mean of its divisors is an integer number (506000505981).

Almost surely, 2^{1012001011961} is an apocalyptic number.

It is an amenable number.

1012001011961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1012001011961 is an equidigital number, since it uses as much as digits as its factorization.

1012001011961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 23.

The spelling of 1012001011961 in words is "one trillion, twelve billion, one million, eleven thousand, nine hundred sixty-one".