101122221200101 has 2 divisors, whose sum is σ = 101122221200102. Its totient is φ = 101122221200100.

The previous prime is 101122221200093. The next prime is 101122221200137. The reversal of 101122221200101 is 101002122221101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69828602035201 + 31293619164900 = 8356351^2 + 5594070^2 .

It is a cyclic number.

It is not a de Polignac number, because 101122221200101 - 2³ = 101122221200093 is a prime.

It is a super-2 number, since 2×101122221200101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101122221200191) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50561110600050 + 50561110600051.

It is an arithmetic number, because the mean of its divisors is an integer number (50561110600051).

Almost surely, 2^{101122221200101} is an apocalyptic number.

It is an amenable number.

101122221200101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101122221200101 is an equidigital number, since it uses as much as digits as its factorization.

101122221200101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101122221200101 its reverse (101002122221101), we get a palindrome (202124343421202).

The spelling of 101122221200101 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, two hundred thousand, one hundred one".