21100010001210 has 192 divisors, whose sum is σ = 64846843176960. Its totient is φ = 4658111608320.

The previous prime is 21100010001139. The next prime is 21100010001233. The reversal of 21100010001210 is 1210001000112.

It is a happy number.

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 = 21100010001192 and 21100010001201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8879484 + ... + 11002056.

It is an arithmetic number, because the mean of its divisors is an integer number (337743974880).

Almost surely, 2^{21100010001210} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100010001210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32423421588480).

21100010001210 is an abundant number, since it is smaller than the sum of its proper divisors (43746833175750).

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

21100010001210 is a wasteful number, since it uses less digits than its factorization.

21100010001210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123133 (or 2123130 counting only the distinct ones).

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

Adding to 21100010001210 its reverse (1210001000112), we get a palindrome (22310011001322).

The spelling of 21100010001210 in words is "twenty-one trillion, one hundred billion, ten million, one thousand, two hundred ten".