122012120100101 has 48 divisors (see below), whose sum is σ = 155864504492928. Its totient is φ = 94444532582400.

The previous prime is 122012120100071. The next prime is 122012120100121. The reversal of 122012120100101 is 101001021210221.

It is not a de Polignac number, because 122012120100101 - 2¹⁸ = 122012119837957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122012120100121) 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 47 ways as a sum of consecutive naturals, for example, 48821081 + ... + 51259361.

It is an arithmetic number, because the mean of its divisors is an integer number (3247177176936).

Almost surely, 2^{122012120100101} is an apocalyptic number.

122012120100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

122012120100101 is a deficient number, since it is larger than the sum of its proper divisors (33852384392827).

122012120100101 is a wasteful number, since it uses less digits than its factorization.

122012120100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438922 (or 2438915 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122012120100101 its reverse (101001021210221), we get a palindrome (223013141310322).

The spelling of 122012120100101 in words is "one hundred twenty-two trillion, twelve billion, one hundred twenty million, one hundred thousand, one hundred one".