2121121002100 has 18 divisors (see below), whose sum is σ = 4602832574774. Its totient is φ = 848448400800.

The previous prime is 2121121002031. The next prime is 2121121002103. The reversal of 2121121002100 is 12001211212.

It can be written as a sum of positive squares in 3 ways, for example, as 12851849956 + 2108269152144 = 113366^2 + 1451988^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121121002103) 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, 10605604911 + ... + 10605605110.

Almost surely, 2^{2121121002100} is an apocalyptic number.

2121121002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121121002100 is an abundant number, since it is smaller than the sum of its proper divisors (2481711572674).

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

2121121002100 is a wasteful number, since it uses less digits than its factorization.

2121121002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21211210035 (or 21211210028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2121121002100 its reverse (12001211212), we get a palindrome (2133122213312).

The spelling of 2121121002100 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-one million, two thousand, one hundred".