1021120100009 has 2 divisors, whose sum is σ = 1021120100010. Its totient is φ = 1021120100008.

The previous prime is 1021120099957. The next prime is 1021120100041. The reversal of 1021120100009 is 9000010211201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 713006293609 + 308113806400 = 844397^2 + 555080^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1021120100009 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1021120100009.

It is not a weakly prime, because it can be changed into another prime (1021120105009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510560050004 + 510560050005.

It is an arithmetic number, because the mean of its divisors is an integer number (510560050005).

Almost surely, 2^{1021120100009} is an apocalyptic number.

It is an amenable number.

1021120100009 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021120100009 is an equidigital number, since it uses as much as digits as its factorization.

1021120100009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 1021120100009 in words is "one trillion, twenty-one billion, one hundred twenty million, one hundred thousand, nine".