101122201001 has 2 divisors, whose sum is σ = 101122201002. Its totient is φ = 101122201000.

The previous prime is 101122200947. The next prime is 101122201013. The reversal of 101122201001 is 100102221101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 69828591001 + 31293610000 = 264251^2 + 176900^2 .

It is an emirp because it is prime and its reverse (100102221101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 101122201001 - 2²⁶ = 101055092137 is a prime.

It is not a weakly prime, because it can be changed into another prime (101122203001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561100500 + 50561100501.

It is an arithmetic number, because the mean of its divisors is an integer number (50561100501).

Almost surely, 2^101122201001 is an apocalyptic number.

It is an amenable number.

101122201001 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122201001 is an equidigital number, since it uses as much as digits as its factorization.

101122201001 is an evil number, because the sum of its binary digits is even.

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

Adding to 101122201001 its reverse (100102221101), we get a palindrome (201224422102).

The spelling of 101122201001 in words is "one hundred one billion, one hundred twenty-two million, two hundred one thousand, one".