122020120122101 has 8 divisors (see below), whose sum is σ = 123124599268440. Its totient is φ = 120916073521152.

The previous prime is 122020120122091. The next prime is 122020120122139. The reversal of 122020120122101 is 101221021020221.

It can be written as a sum of positive squares in 4 ways, for example, as 3242163961201 + 118777956160900 = 1800601^2 + 10898530^2 .

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 122020120122101 - 2⁶ = 122020120122037 is a prime.

It is a super-2 number, since 2×122020120122101² (a number of 29 digits) contains 22 as substring.

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 122020120122101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122020120122181) 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, 107569586 + ... + 108698003.

It is an arithmetic number, because the mean of its divisors is an integer number (15390574908555).

Almost surely, 2^{122020120122101} is an apocalyptic number.

It is an amenable number.

122020120122101 is a deficient number, since it is larger than the sum of its proper divisors (1104479146339).

122020120122101 is a wasteful number, since it uses less digits than its factorization.

122020120122101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216272695.

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

Adding to 122020120122101 its reverse (101221021020221), we get a palindrome (223241141142322).

The spelling of 122020120122101 in words is "one hundred twenty-two trillion, twenty billion, one hundred twenty million, one hundred twenty-two thousand, one hundred one".