122210220102101 has 32 divisors (see below), whose sum is σ = 133457152012800. Its totient is φ = 111516844608000.

The previous prime is 122210220102077. The next prime is 122210220102119. The reversal of 122210220102101 is 101201022012221.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-122210220102101 is a prime.

It is a super-2 number, since 2×122210220102101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 122210220102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122210220102601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1030198571 + ... + 1030317191.

It is an arithmetic number, because the mean of its divisors is an integer number (4170536000400).

Almost surely, 2^{122210220102101} is an apocalyptic number.

It is an amenable number.

122210220102101 is a deficient number, since it is larger than the sum of its proper divisors (11246931910699).

122210220102101 is a wasteful number, since it uses less digits than its factorization.

122210220102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135501.

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

Adding to 122210220102101 its reverse (101201022012221), we get a palindrome (223411242114322).

The spelling of 122210220102101 in words is "one hundred twenty-two trillion, two hundred ten billion, two hundred twenty million, one hundred two thousand, one hundred one".