101122101122201 has 4 divisors (see below), whose sum is σ = 103030065294372. Its totient is φ = 99214136950032.

The previous prime is 101122101122167. The next prime is 101122101122213. The reversal of 101122101122201 is 102221101221101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 58442600090176 + 42679501032025 = 7644776^2 + 6532955^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101122101122201 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101122101122201.

It is not an unprimeable number, because it can be changed into a prime (101122101122261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 953982086006 + ... + 953982086111.

It is an arithmetic number, because the mean of its divisors is an integer number (25757516323593).

Almost surely, 2^{101122101122201} is an apocalyptic number.

It is an amenable number.

101122101122201 is a deficient number, since it is larger than the sum of its proper divisors (1907964172171).

101122101122201 is an equidigital number, since it uses as much as digits as its factorization.

101122101122201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1907964172170.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101122101122201 its reverse (102221101221101), we get a palindrome (203343202343302).

The spelling of 101122101122201 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, two hundred one".