122100101201112 has 32 divisors (see below), whose sum is σ = 321316055793600. Its totient is φ = 38557926694944.

The previous prime is 122100101201107. The next prime is 122100101201161. The reversal of 122100101201112 is 211102101001221.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 122100101201091 and 122100101201100.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 133881689458 + ... + 133881690369.

It is an arithmetic number, because the mean of its divisors is an integer number (10041126743550).

Almost surely, 2^{122100101201112} is an apocalyptic number.

122100101201112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122100101201112 is an abundant number, since it is smaller than the sum of its proper divisors (199215954592488).

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

122100101201112 is a wasteful number, since it uses less digits than its factorization.

122100101201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267763379855 (or 267763379851 counting only the distinct ones).

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

Adding to 122100101201112 its reverse (211102101001221), we get a palindrome (333202202202333).

The spelling of 122100101201112 in words is "one hundred twenty-two trillion, one hundred billion, one hundred one million, two hundred one thousand, one hundred twelve".