122001121100205 has 96 divisors (see below), whose sum is σ = 217147637161728. Its totient is φ = 63327684326400.

The previous prime is 122001121100191. The next prime is 122001121100231. The reversal of 122001121100205 is 502001121100221.

It is not a de Polignac number, because 122001121100205 - 2¹² = 122001121096109 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1362685152 + ... + 1362774678.

It is an arithmetic number, because the mean of its divisors is an integer number (2261954553768).

Almost surely, 2^{122001121100205} is an apocalyptic number.

122001121100205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

122001121100205 is a deficient number, since it is larger than the sum of its proper divisors (95146516061523).

122001121100205 is a wasteful number, since it uses less digits than its factorization.

122001121100205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91347 (or 91344 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 122001121100205 its reverse (502001121100221), we get a palindrome (624002242200426).

The spelling of 122001121100205 in words is "one hundred twenty-two trillion, one billion, one hundred twenty-one million, one hundred thousand, two hundred five".