1001119999961 has 8 divisors (see below), whose sum is σ = 1036509513480. Its totient is φ = 965788362112.

The previous prime is 1001119999933. The next prime is 1001119999991. The reversal of 1001119999961 is 1699999111001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 19744465225 + 981375534736 = 140515^2 + 990644^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1001119999961 - 2³⁴ = 983940130777 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001119999897 and 1001119999906.

It is not an unprimeable number, because it can be changed into a prime (1001119999921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14433710 + ... + 14502903.

It is an arithmetic number, because the mean of its divisors is an integer number (129563689185).

Almost surely, 2^{1001119999961} is an apocalyptic number.

It is an amenable number.

1001119999961 is a deficient number, since it is larger than the sum of its proper divisors (35389513519).

1001119999961 is a wasteful number, since it uses less digits than its factorization.

1001119999961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28937835.

The product of its (nonzero) digits is 354294, while the sum is 56.

The spelling of 1001119999961 in words is "one trillion, one billion, one hundred nineteen million, nine hundred ninety-nine thousand, nine hundred sixty-one".