122101101205 has 16 divisors (see below), whose sum is σ = 146789192880. Its totient is φ = 97502404608.

The previous prime is 122101101197. The next prime is 122101101277. The reversal of 122101101205 is 502101101221.

It can be written as a sum of positive squares in 8 ways, for example, as 19620445329 + 102480655876 = 140073^2 + 320126^2 .

It is a cyclic number.

It is not a de Polignac number, because 122101101205 - 2³ = 122101101197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15909249 + ... + 15916921.

It is an arithmetic number, because the mean of its divisors is an integer number (9174324555).

Almost surely, 2^122101101205 is an apocalyptic number.

It is an amenable number.

122101101205 is a deficient number, since it is larger than the sum of its proper divisors (24688091675).

122101101205 is an equidigital number, since it uses as much as digits as its factorization.

122101101205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13080.

The product of its (nonzero) digits is 40, while the sum is 16.

Adding to 122101101205 its sum of digits (16), we get a palindrome (122101101221).

Adding to 122101101205 its reverse (502101101221), we get a palindrome (624202202426).

The spelling of 122101101205 in words is "one hundred twenty-two billion, one hundred one million, one hundred one thousand, two hundred five".