10021198961 has 2 divisors, whose sum is σ = 10021198962. Its totient is φ = 10021198960.

The previous prime is 10021198939. The next prime is 10021198963. The reversal of 10021198961 is 16989112001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9074467600 + 946731361 = 95260^2 + 30769^2 .

It is a cyclic number.

It is not a de Polignac number, because 10021198961 - 2¹⁰ = 10021197937 is a prime.

Together with 10021198963, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10021198963) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010599480 + 5010599481.

It is an arithmetic number, because the mean of its divisors is an integer number (5010599481).

Almost surely, 2^10021198961 is an apocalyptic number.

It is an amenable number.

10021198961 is a deficient number, since it is larger than the sum of its proper divisors (1).

10021198961 is an equidigital number, since it uses as much as digits as its factorization.

10021198961 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7776, while the sum is 38.

The spelling of 10021198961 in words is "ten billion, twenty-one million, one hundred ninety-eight thousand, nine hundred sixty-one".