2022020100101 has 2 divisors, whose sum is σ = 2022020100102. Its totient is φ = 2022020100100.

The previous prime is 2022020100047. The next prime is 2022020100103. The reversal of 2022020100101 is 1010010202202.

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., 1665581249476 + 356438850625 = 1290574^2 + 597025^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022020100101 - 2³⁸ = 1747142193157 is a prime.

It is a super-3 number, since 3×2022020100101³ (a number of 38 digits) contains 333 as substring.

Together with 2022020100103, 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 (2022020100103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1011010050050 + 1011010050051.

It is an arithmetic number, because the mean of its divisors is an integer number (1011010050051).

Almost surely, 2^{2022020100101} is an apocalyptic number.

It is an amenable number.

2022020100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022020100101 is an equidigital number, since it uses as much as digits as its factorization.

2022020100101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2022020100101 its reverse (1010010202202), we get a palindrome (3032030302303).

The spelling of 2022020100101 in words is "two trillion, twenty-two billion, twenty million, one hundred thousand, one hundred one".