2121211122100 has 54 divisors (see below), whose sum is σ = 5354542944870. Its totient is φ = 727272383040.

The previous prime is 2121211122091. The next prime is 2121211122109. The reversal of 2121211122100 is 12211121212.

It is an interprime number because it is at equal distance from previous prime (2121211122091) and next prime (2121211122109).

It can be written as a sum of positive squares in 3 ways, for example, as 24489746064 + 2096721376036 = 156492^2 + 1448006^2 .

It is a super-2 number, since 2×2121211122100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121211122109) 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 17 ways as a sum of consecutive naturals, for example, 216445215 + ... + 216455014.

Almost surely, 2^{2121211122100} is an apocalyptic number.

2121211122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2121211122100 is an abundant number, since it is smaller than the sum of its proper divisors (3233331822770).

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

2121211122100 is a wasteful number, since it uses less digits than its factorization.

2121211122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432900257 (or 432900243 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2121211122100 its reverse (12211121212), we get a palindrome (2133422243312).

The spelling of 2121211122100 in words is "two trillion, one hundred twenty-one billion, two hundred eleven million, one hundred twenty-two thousand, one hundred".