10223121961 has 8 divisors (see below), whose sum is σ = 11010693960. Its totient is φ = 9435718272.

The previous prime is 10223121907. The next prime is 10223121983. The reversal of 10223121961 is 16912132201.

It can be written as a sum of positive squares in 4 ways, for example, as 940955625 + 9282166336 = 30675^2 + 96344^2 .

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 10223121961 - 2⁹ = 10223121449 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10223121901) 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, 102501 + ... + 175933.

It is an arithmetic number, because the mean of its divisors is an integer number (1376336745).

Almost surely, 2^10223121961 is an apocalyptic number.

It is an amenable number.

10223121961 is a deficient number, since it is larger than the sum of its proper divisors (787571999).

10223121961 is a wasteful number, since it uses less digits than its factorization.

10223121961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84155.

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 10223121961 in words is "ten billion, two hundred twenty-three million, one hundred twenty-one thousand, nine hundred sixty-one".