10102221110921 has 2 divisors, whose sum is σ = 10102221110922. Its totient is φ = 10102221110920.

The previous prime is 10102221110893. The next prime is 10102221110923. The reversal of 10102221110921 is 12901112220101.

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., 8752953014521 + 1349268096400 = 2958539^2 + 1161580^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102221110921 - 2⁴² = 5704174599817 is a prime.

Together with 10102221110923, 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 (10102221110923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5051110555460 + 5051110555461.

It is an arithmetic number, because the mean of its divisors is an integer number (5051110555461).

Almost surely, 2^{10102221110921} is an apocalyptic number.

It is an amenable number.

10102221110921 is a deficient number, since it is larger than the sum of its proper divisors (1).

10102221110921 is an equidigital number, since it uses as much as digits as its factorization.

10102221110921 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 23.

The spelling of 10102221110921 in words is "ten trillion, one hundred two billion, two hundred twenty-one million, one hundred ten thousand, nine hundred twenty-one".