101011122201221 has 8 divisors (see below), whose sum is σ = 101057852324088. Its totient is φ = 100964393208000.

The previous prime is 101011122201173. The next prime is 101011122201293. The reversal of 101011122201221 is 122102221110101.

It can be written as a sum of positive squares in 4 ways, for example, as 13712727424900 + 87298394776321 = 3703070^2 + 9343361^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101011122201221 - 2²⁶ = 101011055092357 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 101011122201221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011122204221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217116911 + ... + 217581651.

It is an arithmetic number, because the mean of its divisors is an integer number (12632231540511).

Almost surely, 2^{101011122201221} is an apocalyptic number.

It is an amenable number.

101011122201221 is a deficient number, since it is larger than the sum of its proper divisors (46730122867).

101011122201221 is an equidigital number, since it uses as much as digits as its factorization.

101011122201221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564823.

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

Adding to 101011122201221 its reverse (122102221110101), we get a palindrome (223113343311322).

The spelling of 101011122201221 in words is "one hundred one trillion, eleven billion, one hundred twenty-two million, two hundred one thousand, two hundred twenty-one".