21202002001100 has 144 divisors (see below), whose sum is σ = 48869088428160. Its totient is φ = 7956674764800.

The previous prime is 21202002001079. The next prime is 21202002001123. The reversal of 21202002001100 is 110020020212.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 741547805 + ... + 741576395.

It is an arithmetic number, because the mean of its divisors is an integer number (339368669640).

Almost surely, 2^{21202002001100} is an apocalyptic number.

21202002001100 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 21202002001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24434544214080).

21202002001100 is an abundant number, since it is smaller than the sum of its proper divisors (27667086427060).

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

21202002001100 is a wasteful number, since it uses less digits than its factorization.

21202002001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29988 (or 29981 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 21202002001100 its reverse (110020020212), we get a palindrome (21312022021312).

The spelling of 21202002001100 in words is "twenty-one trillion, two hundred two billion, two million, one thousand, one hundred".