21100012113300 has 144 divisors (see below), whose sum is σ = 62284103062272. Its totient is φ = 5513152320000.

The previous prime is 21100012113287. The next prime is 21100012113307. The reversal of 21100012113300 is 331121000112.

It is a happy number.

It is a super-2 number, since 2×21100012113300² (a number of 27 digits) contains 22 as substring.

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 21100012113300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21100012113307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11057382 + ... + 12824418.

It is an arithmetic number, because the mean of its divisors is an integer number (432528493488).

Almost surely, 2^{21100012113300} is an apocalyptic number.

21100012113300 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 21100012113300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31142051531136).

21100012113300 is an abundant number, since it is smaller than the sum of its proper divisors (41184090948972).

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

21100012113300 is a wasteful number, since it uses less digits than its factorization.

21100012113300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767858 (or 1767851 counting only the distinct ones).

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

Adding to 21100012113300 its reverse (331121000112), we get a palindrome (21431133113412).

The spelling of 21100012113300 in words is "twenty-one trillion, one hundred billion, twelve million, one hundred thirteen thousand, three hundred".