21101133300 has 288 divisors, whose sum is σ = 67881072000. Its totient is φ = 5027235840.

The previous prime is 21101133241. The next prime is 21101133341. The reversal of 21101133300 is 333110112.

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 21101133300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50360491 + ... + 50360909.

Almost surely, 2^21101133300 is an apocalyptic number.

21101133300 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 21101133300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33940536000).

21101133300 is an abundant number, since it is smaller than the sum of its proper divisors (46779938700).

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

21101133300 is a wasteful number, since it uses less digits than its factorization.

21101133300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 21101133300 its reverse (333110112), we get a palindrome (21434243412).

The spelling of 21101133300 in words is "twenty-one billion, one hundred one million, one hundred thirty-three thousand, three hundred".