1011000999961 has 2 divisors, whose sum is σ = 1011000999962. Its totient is φ = 1011000999960.

The previous prime is 1011000999959. The next prime is 1011001000001. The reversal of 1011000999961 is 1699990001101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 528870745225 + 482130254736 = 727235^2 + 694356^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011000999961 - 2¹ = 1011000999959 is a prime.

It is a super-3 number, since 3×1011000999961³ (a number of 37 digits) contains 333 as substring.

Together with 1011000999959, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (1011000999361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500499980 + 505500499981.

It is an arithmetic number, because the mean of its divisors is an integer number (505500499981).

Almost surely, 2^{1011000999961} is an apocalyptic number.

It is an amenable number.

1011000999961 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011000999961 is an equidigital number, since it uses as much as digits as its factorization.

1011000999961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 39366, while the sum is 46.

The spelling of 1011000999961 in words is "one trillion, eleven billion, nine hundred ninety-nine thousand, nine hundred sixty-one".