122101200001021 has 8 divisors (see below), whose sum is σ = 122213833358904. Its totient is φ = 121988615293440.

The previous prime is 122101200001009. The next prime is 122101200001049. The reversal of 122101200001021 is 120100002101221.

It can be written as a sum of positive squares in 4 ways, for example, as 951773896921 + 121149426104100 = 975589^2 + 11006790^2 .

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 122101200001021 - 2¹⁷ = 122101199869949 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122101200000992 and 122101200001010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122101200001051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7139760 + ... + 17180761.

It is an arithmetic number, because the mean of its divisors is an integer number (15276729169863).

Almost surely, 2^{122101200001021} is an apocalyptic number.

It is an amenable number.

122101200001021 is a deficient number, since it is larger than the sum of its proper divisors (112633357883).

122101200001021 is a wasteful number, since it uses less digits than its factorization.

122101200001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24325151.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 122101200001021 its reverse (120100002101221), we get a palindrome (242201202102242).

The spelling of 122101200001021 in words is "one hundred twenty-two trillion, one hundred one billion, two hundred million, one thousand, twenty-one".