21111101003300 has 144 divisors (see below), whose sum is σ = 57196615432320. Its totient is φ = 6570695040000.

The previous prime is 21111101003269. The next prime is 21111101003303. The reversal of 21111101003300 is 330010111112.

It is a happy number.

It is a super-2 number, since 2×21111101003300² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (21111101003303) 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, 3442136 + ... + 7353264.

It is an arithmetic number, because the mean of its divisors is an integer number (397198718280).

Almost surely, 2^{21111101003300} is an apocalyptic number.

21111101003300 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 21111101003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28598307716160).

21111101003300 is an abundant number, since it is smaller than the sum of its proper divisors (36085514429020).

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

21111101003300 is a wasteful number, since it uses less digits than its factorization.

21111101003300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3911862 (or 3911855 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 21111101003300 its reverse (330010111112), we get a palindrome (21441111114412).

The spelling of 21111101003300 in words is "twenty-one trillion, one hundred eleven billion, one hundred one million, three thousand, three hundred".