1010111110961 has 2 divisors, whose sum is σ = 1010111110962. Its totient is φ = 1010111110960.

The previous prime is 1010111110933. The next prime is 1010111110973. The reversal of 1010111110961 is 1690111110101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1006923943936 + 3187167025 = 1003456^2 + 56455^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1010111110961 is a prime.

It is not a weakly prime, because it can be changed into another prime (1010111116961) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505055555480 + 505055555481.

It is an arithmetic number, because the mean of its divisors is an integer number (505055555481).

Almost surely, 2^{1010111110961} is an apocalyptic number.

It is an amenable number.

1010111110961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1010111110961 is an equidigital number, since it uses as much as digits as its factorization.

1010111110961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 54, while the sum is 23.

The spelling of 1010111110961 in words is "one trillion, ten billion, one hundred eleven million, one hundred ten thousand, nine hundred sixty-one".