122000121211101 has 128 divisors (see below), whose sum is σ = 193837606502400. Its totient is φ = 66802494182400.

The previous prime is 122000121211091. The next prime is 122000121211159. The reversal of 122000121211101 is 101112121000221.

It is a happy number.

It is not a de Polignac number, because 122000121211101 - 2⁹ = 122000121210589 is a prime.

It is a super-2 number, since 2×122000121211101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122000121211601) 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 127 ways as a sum of consecutive naturals, for example, 37782631155 + ... + 37782634383.

It is an arithmetic number, because the mean of its divisors is an integer number (1514356300800).

Almost surely, 2^{122000121211101} is an apocalyptic number.

It is an amenable number.

122000121211101 is a deficient number, since it is larger than the sum of its proper divisors (71837485291299).

122000121211101 is a wasteful number, since it uses less digits than its factorization.

122000121211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5019.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 122000121211101 its reverse (101112121000221), we get a palindrome (223112242211322).

The spelling of 122000121211101 in words is "one hundred twenty-two trillion, one hundred twenty-one million, two hundred eleven thousand, one hundred one".