12121121010100 has 36 divisors (see below), whose sum is σ = 26598370056300. Its totient is φ = 4793971452160.

The previous prime is 12121121010091. The next prime is 12121121010137. The reversal of 12121121010100 is 101012112121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4392654289956 + 7728466720144 = 2095866^2 + 2780012^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 680952955 + ... + 680970754.

It is an arithmetic number, because the mean of its divisors is an integer number (738843612675).

Almost surely, 2^{12121121010100} is an apocalyptic number.

12121121010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12121121010100 is an abundant number, since it is smaller than the sum of its proper divisors (14477249046200).

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

12121121010100 is a wasteful number, since it uses less digits than its factorization.

12121121010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1361923812 (or 1361923805 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12121121010100 its reverse (101012112121), we get a palindrome (12222133122221).

The spelling of 12121121010100 in words is "twelve trillion, one hundred twenty-one billion, one hundred twenty-one million, ten thousand, one hundred".