202201010001101 has 2 divisors, whose sum is σ = 202201010001102. Its totient is φ = 202201010001100.

The previous prime is 202201010001077. The next prime is 202201010001103. The reversal of 202201010001101 is 101100010102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101856012955876 + 100344997045225 = 10092374^2 + 10017235^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201010001101 - 2²² = 202201005806797 is a prime.

Together with 202201010001103, 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 (202201010001103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100505000550 + 101100505000551.

It is an arithmetic number, because the mean of its divisors is an integer number (101100505000551).

Almost surely, 2^{202201010001101} is an apocalyptic number.

It is an amenable number.

202201010001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201010001101 is an equidigital number, since it uses as much as digits as its factorization.

202201010001101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 202201010001101 its reverse (101100010102202), we get a palindrome (303301020103303).

The spelling of 202201010001101 in words is "two hundred two trillion, two hundred one billion, ten million, one thousand, one hundred one".