21112002212100 has 72 divisors (see below), whose sum is σ = 61087132360800. Its totient is φ = 5629584065280.

The previous prime is 21112002212057. The next prime is 21112002212107. The reversal of 21112002212100 is 121220021112.

21112002212100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

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 21112002212100.

It is not an unprimeable number, because it can be changed into a prime (21112002212107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4237951 + ... + 7757849.

It is an arithmetic number, because the mean of its divisors is an integer number (848432393900).

Almost surely, 2^{21112002212100} is an apocalyptic number.

21112002212100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21112002212100 is an abundant number, since it is smaller than the sum of its proper divisors (39975130148700).

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

21112002212100 is a wasteful number, since it uses less digits than its factorization.

21112002212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539909 (or 3539902 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21112002212100 its reverse (121220021112), we get a palindrome (21233222233212).

The spelling of 21112002212100 in words is "twenty-one trillion, one hundred twelve billion, two million, two hundred twelve thousand, one hundred".