121122121212100 has 18 divisors (see below), whose sum is σ = 262835003030474. Its totient is φ = 48448848484800.

The previous prime is 121122121212083. The next prime is 121122121212109. The reversal of 121122121212100 is 1212121221121.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 37934573824 + 121084186638276 = 194768^2 + 11003826^2 .

It is not an unprimeable number, because it can be changed into a prime (121122121212109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 605610605961 + ... + 605610606160.

Almost surely, 2^{121122121212100} is an apocalyptic number.

121122121212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122121212100 is an abundant number, since it is smaller than the sum of its proper divisors (141712881818374).

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

121122121212100 is a wasteful number, since it uses less digits than its factorization.

121122121212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211221212135 (or 1211221212128 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 121122121212100 its reverse (1212121221121), we get a palindrome (122334242433221).

The spelling of 121122121212100 in words is "one hundred twenty-one trillion, one hundred twenty-two billion, one hundred twenty-one million, two hundred twelve thousand, one hundred".