211431421122100 has 36 divisors (see below), whose sum is σ = 459300055063500. Its totient is φ = 84481532277760.

The previous prime is 211431421122043. The next prime is 211431421122151. The reversal of 211431421122100 is 1221124134112.

It can be written as a sum of positive squares in 6 ways, for example, as 120617458829604 + 90813962292496 = 10982598^2 + 9529636^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 1137858775 + ... + 1138044574.

It is an arithmetic number, because the mean of its divisors is an integer number (12758334862875).

Almost surely, 2^{211431421122100} is an apocalyptic number.

211431421122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211431421122100 is an abundant number, since it is smaller than the sum of its proper divisors (247868633941400).

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

211431421122100 is a wasteful number, since it uses less digits than its factorization.

211431421122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2275904292 (or 2275904285 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 25.

Adding to 211431421122100 its reverse (1221124134112), we get a palindrome (212652545256212).

The spelling of 211431421122100 in words is "two hundred eleven trillion, four hundred thirty-one billion, four hundred twenty-one million, one hundred twenty-two thousand, one hundred".