9202002012101 has 2 divisors, whose sum is σ = 9202002012102. Its totient is φ = 9202002012100.

The previous prime is 9202002012053. The next prime is 9202002012103. The reversal of 9202002012101 is 1012102002029.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7069376968900 + 2132625043201 = 2658830^2 + 1460351^2 .

It is a cyclic number.

It is not a de Polignac number, because 9202002012101 - 2¹⁰ = 9202002011077 is a prime.

It is a super-3 number, since 3×9202002012101³ (a number of 40 digits) contains 333 as substring.

Together with 9202002012103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (9202002012103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4601001006050 + 4601001006051.

It is an arithmetic number, because the mean of its divisors is an integer number (4601001006051).

Almost surely, 2^{9202002012101} is an apocalyptic number.

It is an amenable number.

9202002012101 is a deficient number, since it is larger than the sum of its proper divisors (1).

9202002012101 is an equidigital number, since it uses as much as digits as its factorization.

9202002012101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

The spelling of 9202002012101 in words is "nine trillion, two hundred two billion, two million, twelve thousand, one hundred one".