121211122012100 has 18 divisors (see below), whose sum is σ = 263028134766474. Its totient is φ = 48484448804800.

The previous prime is 121211122012067. The next prime is 121211122012103. The reversal of 121211122012100 is 1210221112121.

It can be written as a sum of positive squares in 3 ways, for example, as 51613478596 + 121159508533504 = 227186^2 + 11007248^2 .

It is not an unprimeable number, because it can be changed into a prime (121211122012103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 606055609961 + ... + 606055610160.

It is an arithmetic number, because the mean of its divisors is an integer number (14612674153693).

Almost surely, 2^{121211122012100} is an apocalyptic number.

121211122012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211122012100 is an abundant number, since it is smaller than the sum of its proper divisors (141817012754374).

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

121211122012100 is a wasteful number, since it uses less digits than its factorization.

121211122012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1212111220135 (or 1212111220128 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 121211122012100 its reverse (1210221112121), we get a palindrome (122421343124221).

The spelling of 121211122012100 in words is "one hundred twenty-one trillion, two hundred eleven billion, one hundred twenty-two million, twelve thousand, one hundred".