21210010102000 has 80 divisors (see below), whose sum is σ = 51299099272512. Its totient is φ = 8481804729600.

The previous prime is 21210010101899. The next prime is 21210010102009. The reversal of 21210010102000 is 20101001212.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21210010102009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6353362 + ... + 9098638.

Almost surely, 2^{21210010102000} is an apocalyptic number.

21210010102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21210010102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25649549636256).

21210010102000 is an abundant number, since it is smaller than the sum of its proper divisors (30089089170512).

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

21210010102000 is a wasteful number, since it uses less digits than its factorization.

21210010102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2749163 (or 2749147 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 21210010102000 its reverse (20101001212), we get a palindrome (21230111103212).

The spelling of 21210010102000 in words is "twenty-one trillion, two hundred ten billion, ten million, one hundred two thousand".