202122100001 has 2 divisors, whose sum is σ = 202122100002. Its totient is φ = 202122100000.

The previous prime is 202122099973. The next prime is 202122100003. The reversal of 202122100001 is 100001221202.

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., 173222440000 + 28899660001 = 416200^2 + 169999^2 .

It is a cyclic number.

It is not a de Polignac number, because 202122100001 - 2³⁰ = 201048358177 is a prime.

Together with 202122100003, 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 (202122100003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101061050000 + 101061050001.

It is an arithmetic number, because the mean of its divisors is an integer number (101061050001).

Almost surely, 2^202122100001 is an apocalyptic number.

It is an amenable number.

202122100001 is a deficient number, since it is larger than the sum of its proper divisors (1).

202122100001 is an equidigital number, since it uses as much as digits as its factorization.

202122100001 is an odious number, because the sum of its binary digits is odd.

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

Adding to 202122100001 its reverse (100001221202), we get a palindrome (302123321203).

The spelling of 202122100001 in words is "two hundred two billion, one hundred twenty-two million, one hundred thousand, one".