1011007200961 has 2 divisors, whose sum is σ = 1011007200962. Its totient is φ = 1011007200960.

The previous prime is 1011007200949. The next prime is 1011007200967. The reversal of 1011007200961 is 1690027001101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 731420063361 + 279587137600 = 855231^2 + 528760^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011007200961 - 2²¹ = 1011005103809 is a prime.

It is not a weakly prime, because it can be changed into another prime (1011007200967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505503600480 + 505503600481.

It is an arithmetic number, because the mean of its divisors is an integer number (505503600481).

Almost surely, 2^{1011007200961} is an apocalyptic number.

It is an amenable number.

1011007200961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011007200961 is an equidigital number, since it uses as much as digits as its factorization.

1011007200961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 28.

The spelling of 1011007200961 in words is "one trillion, eleven billion, seven million, two hundred thousand, nine hundred sixty-one".