21101032013100 has 288 divisors, whose sum is σ = 66102322513920. Its totient is φ = 5166232565760.

The previous prime is 21101032013081. The next prime is 21101032013107. The reversal of 21101032013100 is 131023010112.

It is a happy number.

It is a super-2 number, since 2×21101032013100² (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 21101032013100.

It is not an unprimeable number, because it can be changed into a prime (21101032013107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 573488304 + ... + 573525096.

Almost surely, 2^{21101032013100} is an apocalyptic number.

21101032013100 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 21101032013100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33051161256960).

21101032013100 is an abundant number, since it is smaller than the sum of its proper divisors (45001290500820).

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

21101032013100 is a wasteful number, since it uses less digits than its factorization.

21101032013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37609 (or 37602 counting only the distinct ones).

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

Adding to 21101032013100 its reverse (131023010112), we get a palindrome (21232055023212).

The spelling of 21101032013100 in words is "twenty-one trillion, one hundred one billion, thirty-two million, thirteen thousand, one hundred".