21100020113310 has 128 divisors (see below), whose sum is σ = 53086933025280. Its totient is φ = 5361233203200.

The previous prime is 21100020113233. The next prime is 21100020113357. The reversal of 21100020113310 is 1331102000112.

It is a happy number.

It is a super-3 number, since 3×21100020113310³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21100020113310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924981805 + ... + 925004615.

It is an arithmetic number, because the mean of its divisors is an integer number (414741664260).

Almost surely, 2^{21100020113310} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100020113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26543466512640).

21100020113310 is an abundant number, since it is smaller than the sum of its proper divisors (31986912911970).

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

21100020113310 is a wasteful number, since it uses less digits than its factorization.

21100020113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40394.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 21100020113310 its reverse (1331102000112), we get a palindrome (22431122113422).

The spelling of 21100020113310 in words is "twenty-one trillion, one hundred billion, twenty million, one hundred thirteen thousand, three hundred ten".