21211100000010 has 24 divisors (see below), whose sum is σ = 55148860000260. Its totient is φ = 5656293333312.

The previous prime is 21211099999937. The next prime is 21211100000033. The reversal of 21211100000010 is 1000000111212.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 20649962673729 + 561137326281 = 4544223^2 + 749091^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 21211099999938 and 21211100000001.

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, 117839444355 + ... + 117839444534.

Almost surely, 2^{21211100000010} is an apocalyptic number.

21211100000010 is an abundant number, since it is smaller than the sum of its proper divisors (33937760000250).

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

21211100000010 is a wasteful number, since it uses less digits than its factorization.

21211100000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235678888902 (or 235678888899 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 21211100000010 its reverse (1000000111212), we get a palindrome (22211100111222).

The spelling of 21211100000010 in words is "twenty-one trillion, two hundred eleven billion, one hundred million, ten", and thus it is an aban number.