21010110100002 has 64 divisors (see below), whose sum is σ = 47397700281600. Its totient is φ = 6897297415680.

The previous prime is 21010110099991. The next prime is 21010110100019. The reversal of 21010110100002 is 20000101101012.

It is a happy number.

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

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 31 ways as a sum of consecutive naturals, for example, 612408 + ... + 6511164.

It is an arithmetic number, because the mean of its divisors is an integer number (740589066900).

Almost surely, 2^{21010110100002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21010110100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23698850140800).

21010110100002 is an abundant number, since it is smaller than the sum of its proper divisors (26387590181598).

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

21010110100002 is a wasteful number, since it uses less digits than its factorization.

21010110100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899768 (or 5899762 counting only the distinct ones).

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

Adding to 21010110100002 its reverse (20000101101012), we get a palindrome (41010211201014).

The spelling of 21010110100002 in words is "twenty-one trillion, ten billion, one hundred ten million, one hundred thousand, two".