101121002022221 has 16 divisors (see below), whose sum is σ = 104353641908208. Its totient is φ = 97927164518400.

The previous prime is 101121002022197. The next prime is 101121002022277. The reversal of 101121002022221 is 122220200121101.

It can be written as a sum of positive squares in 8 ways, for example, as 6887659069225 + 94233342952996 = 2624435^2 + 9707386^2 .

It is a cyclic number.

It is not a de Polignac number, because 101121002022221 - 2⁴⁶ = 30752257844557 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 101121002022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121002022281) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10959500 + ... + 17954181.

It is an arithmetic number, because the mean of its divisors is an integer number (6522102619263).

Almost surely, 2^{101121002022221} is an apocalyptic number.

It is an amenable number.

101121002022221 is a deficient number, since it is larger than the sum of its proper divisors (3232639885987).

101121002022221 is a wasteful number, since it uses less digits than its factorization.

101121002022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28914352.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101121002022221 its reverse (122220200121101), we get a palindrome (223341202143322).

The spelling of 101121002022221 in words is "one hundred one trillion, one hundred twenty-one billion, two million, twenty-two thousand, two hundred twenty-one".