121211110100 has 36 divisors (see below), whose sum is σ = 278500354524. Its totient is φ = 45632417280.

The previous prime is 121211110073. The next prime is 121211110129. The reversal of 121211110100 is 1011112121.

It can be written as a sum of positive squares in 6 ways, for example, as 1648684816 + 119562425284 = 40604^2 + 345778^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35648627 + ... + 35652026.

It is an arithmetic number, because the mean of its divisors is an integer number (7736120959).

Almost surely, 2^121211110100 is an apocalyptic number.

121211110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121211110100 is an abundant number, since it is smaller than the sum of its proper divisors (157289244424).

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

121211110100 is a wasteful number, since it uses less digits than its factorization.

121211110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71300684 (or 71300677 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 121211110100 its reverse (1011112121), we get a palindrome (122222222221).

The spelling of 121211110100 in words is "one hundred twenty-one billion, two hundred eleven million, one hundred ten thousand, one hundred".