122120000212101 has 16 divisors (see below), whose sum is σ = 167256325636800. Its totient is φ = 79199265656448.

The previous prime is 122120000212073. The next prime is 122120000212129. The reversal of 122120000212101 is 101212000021221.

It is an interprime number because it is at equal distance from previous prime (122120000212073) and next prime (122120000212129).

It is not a de Polignac number, because 122120000212101 - 2⁷ = 122120000211973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122120000212141) 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, 94546296 + ... + 95829233.

It is an arithmetic number, because the mean of its divisors is an integer number (10453520352300).

Almost surely, 2^{122120000212101} is an apocalyptic number.

It is an amenable number.

122120000212101 is a deficient number, since it is larger than the sum of its proper divisors (45136325424699).

122120000212101 is a wasteful number, since it uses less digits than its factorization.

122120000212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190381348.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122120000212101 its reverse (101212000021221), we get a palindrome (223332000233322).

The spelling of 122120000212101 in words is "one hundred twenty-two trillion, one hundred twenty billion, two hundred twelve thousand, one hundred one".