101201122109 has 2 divisors, whose sum is σ = 101201122110. Its totient is φ = 101201122108.

The previous prime is 101201122097. The next prime is 101201122117. The reversal of 101201122109 is 901221102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59172022009 + 42029100100 = 243253^2 + 205010^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201122109 - 2²⁸ = 100932686653 is a prime.

It is a super-2 number, since 2×101201122109² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101201122189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600561054 + 50600561055.

It is an arithmetic number, because the mean of its divisors is an integer number (50600561055).

Almost surely, 2^101201122109 is an apocalyptic number.

It is an amenable number.

101201122109 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201122109 is an equidigital number, since it uses as much as digits as its factorization.

101201122109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 20.

The spelling of 101201122109 in words is "one hundred one billion, two hundred one million, one hundred twenty-two thousand, one hundred nine".