122344144101100 has 72 divisors (see below), whose sum is σ = 266564061308160. Its totient is φ = 48739177500480.

The previous prime is 122344144101071. The next prime is 122344144101107. The reversal of 122344144101100 is 1101441443221.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (122344144101107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103111011 + ... + 104290789.

It is an arithmetic number, because the mean of its divisors is an integer number (3702278629280).

Almost surely, 2^{122344144101100} is an apocalyptic number.

122344144101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122344144101100 is an abundant number, since it is smaller than the sum of its proper divisors (144219917207060).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122344144101100 is a wasteful number, since it uses less digits than its factorization.

122344144101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183999 (or 1183992 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

Adding to 122344144101100 its reverse (1101441443221), we get a palindrome (123445585544321).

The spelling of 122344144101100 in words is "one hundred twenty-two trillion, three hundred forty-four billion, one hundred forty-four million, one hundred one thousand, one hundred".