122011222111021 has 16 divisors (see below), whose sum is σ = 130640839599600. Its totient is φ = 113543010459648.

The previous prime is 122011222111003. The next prime is 122011222111073. The reversal of 122011222111021 is 120111222110221.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 19851970358025 + 102159251752996 = 4455555^2 + 10107386^2 .

It is a cyclic number.

It is not a de Polignac number, because 122011222111021 - 2¹³ = 122011222102829 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 122011222111021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122011222111421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 365060575 + ... + 365394643.

It is an arithmetic number, because the mean of its divisors is an integer number (8165052474975).

Almost surely, 2^{122011222111021} is an apocalyptic number.

It is an amenable number.

122011222111021 is a deficient number, since it is larger than the sum of its proper divisors (8629617488579).

122011222111021 is a wasteful number, since it uses less digits than its factorization.

122011222111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575568.

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 122011222111021 its reverse (120111222110221), we get a palindrome (242122444221242).

The spelling of 122011222111021 in words is "one hundred twenty-two trillion, eleven billion, two hundred twenty-two million, one hundred eleven thousand, twenty-one".