21002111100 has 216 divisors, whose sum is σ = 69866465760. Its totient is φ = 5258711040.

The previous prime is 21002111077. The next prime is 21002111159. The reversal of 21002111100 is 111120012.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7694536 + ... + 7697264.

It is an arithmetic number, because the mean of its divisors is an integer number (323455860).

Almost surely, 2^21002111100 is an apocalyptic number.

21002111100 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 21002111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34933232880).

21002111100 is an abundant number, since it is smaller than the sum of its proper divisors (48864354660).

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

21002111100 is a wasteful number, since it uses less digits than its factorization.

21002111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3259 counting only the distinct ones).

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

Adding to 21002111100 its reverse (111120012), we get a palindrome (21113231112).

The spelling of 21002111100 in words is "twenty-one billion, two million, one hundred eleven thousand, one hundred".