122102200200101 has 16 divisors (see below), whose sum is σ = 141788480443200. Its totient is φ = 103978218960000.

The previous prime is 122102200200083. The next prime is 122102200200133. The reversal of 122102200200101 is 101002002201221.

It is a de Polignac number, because none of the positive numbers 2^k-122102200200101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122102200200191) 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 15 ways as a sum of consecutive naturals, for example, 3282122150 + ... + 3282159351.

It is an arithmetic number, because the mean of its divisors is an integer number (8861780027700).

Almost surely, 2^{122102200200101} is an apocalyptic number.

122102200200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122102200200101 is a deficient number, since it is larger than the sum of its proper divisors (19686280243099).

122102200200101 is a wasteful number, since it uses less digits than its factorization.

122102200200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6564281620.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122102200200101 its reverse (101002002201221), we get a palindrome (223104202401322).

The spelling of 122102200200101 in words is "one hundred twenty-two trillion, one hundred two billion, two hundred million, two hundred thousand, one hundred one".