2122010002100 has 18 divisors (see below), whose sum is σ = 4604761704774. Its totient is φ = 848804000800.

The previous prime is 2122010002043. The next prime is 2122010002109. The reversal of 2122010002100 is 12000102212.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 669821117476 + 1452188884624 = 818426^2 + 1205068^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122010002109) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 10610049911 + ... + 10610050110.

Almost surely, 2^{2122010002100} is an apocalyptic number.

2122010002100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122010002100 is an abundant number, since it is smaller than the sum of its proper divisors (2482751702674).

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

2122010002100 is a wasteful number, since it uses less digits than its factorization.

2122010002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21220100035 (or 21220100028 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2122010002100 its reverse (12000102212), we get a palindrome (2134010104312).

The spelling of 2122010002100 in words is "two trillion, one hundred twenty-two billion, ten million, two thousand, one hundred".