21102000020010 has 384 divisors, whose sum is σ = 68983389296640. Its totient is φ = 4356280700928.

The previous prime is 21102000019979. The next prime is 21102000020033. The reversal of 21102000020010 is 1002000020112.

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 = 21102000019974 and 21102000020001.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1881917164 + ... + 1881928376.

It is an arithmetic number, because the mean of its divisors is an integer number (179644242960).

Almost surely, 2^{21102000020010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21102000020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34491694648320).

21102000020010 is an abundant number, since it is smaller than the sum of its proper divisors (47881389276630).

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

21102000020010 is a wasteful number, since it uses less digits than its factorization.

21102000020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16182 (or 16179 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 21102000020010 its reverse (1002000020112), we get a palindrome (22104000040122).

The spelling of 21102000020010 in words is "twenty-one trillion, one hundred two billion, twenty thousand, ten".