101121322201 has 2 divisors, whose sum is σ = 101121322202. Its totient is φ = 101121322200.

The previous prime is 101121322199. The next prime is 101121322213. The reversal of 101121322201 is 102223121101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69677521225 + 31443800976 = 263965^2 + 177324^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121322201 - 2¹ = 101121322199 is a prime.

Together with 101121322199, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (101121322231) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560661100 + 50560661101.

It is an arithmetic number, because the mean of its divisors is an integer number (50560661101).

Almost surely, 2^101121322201 is an apocalyptic number.

It is an amenable number.

101121322201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101121322201 is an equidigital number, since it uses as much as digits as its factorization.

101121322201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 101121322201 its reverse (102223121101), we get a palindrome (203344443302).

The spelling of 101121322201 in words is "one hundred one billion, one hundred twenty-one million, three hundred twenty-two thousand, two hundred one".