21110033000100 has 288 divisors, whose sum is σ = 68709338320896. Its totient is φ = 4960067097600.

The previous prime is 21110033000081. The next prime is 21110033000107. The reversal of 21110033000100 is 100033001112.

It is a super-2 number, since 2×21110033000100² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (21110033000107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15314592 + ... + 16636008.

It is an arithmetic number, because the mean of its divisors is an integer number (238574091392).

Almost surely, 2^{21110033000100} is an apocalyptic number.

21110033000100 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 21110033000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34354669160448).

21110033000100 is an abundant number, since it is smaller than the sum of its proper divisors (47599305320796).

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

21110033000100 is a wasteful number, since it uses less digits than its factorization.

21110033000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1321595 (or 1321588 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 21110033000100 its reverse (100033001112), we get a palindrome (21210066001212).

The spelling of 21110033000100 in words is "twenty-one trillion, one hundred ten billion, thirty-three million, one hundred", and thus it is an aban number.