1000121212100 has 36 divisors (see below), whose sum is σ = 2184828586500. Its totient is φ = 397363589760.

The previous prime is 1000121212099. The next prime is 1000121212133. The reversal of 1000121212100 is 12121210001.

It can be written as a sum of positive squares in 6 ways, for example, as 48766772224 + 951354439876 = 220832^2 + 975374^2 .

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 11 ways as a sum of consecutive naturals, for example, 33546215 + ... + 33576014.

Almost surely, 2^{1000121212100} is an apocalyptic number.

1000121212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000121212100 is an abundant number, since it is smaller than the sum of its proper divisors (1184707374400).

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

1000121212100 is a wasteful number, since it uses less digits than its factorization.

1000121212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67122392 (or 67122385 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1000121212100 its reverse (12121210001), we get a palindrome (1012242422101).

The spelling of 1000121212100 in words is "one trillion, one hundred twenty-one million, two hundred twelve thousand, one hundred".