21120000202100 has 144 divisors (see below), whose sum is σ = 47525733158400. Its totient is φ = 8138035200000.

The previous prime is 21120000202079. The next prime is 21120000202121. The reversal of 21120000202100 is 120200002112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21120000202079) and next prime (21120000202121).

It is a congruent 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, 1469823716 + ... + 1469838084.

It is an arithmetic number, because the mean of its divisors is an integer number (330039813600).

Almost surely, 2^{21120000202100} is an apocalyptic number.

21120000202100 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 21120000202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23762866579200).

21120000202100 is an abundant number, since it is smaller than the sum of its proper divisors (26405732956300).

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

21120000202100 is a wasteful number, since it uses less digits than its factorization.

21120000202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16554 (or 16547 counting only the distinct ones).

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

Adding to 21120000202100 its reverse (120200002112), we get a palindrome (21240200204212).

The spelling of 21120000202100 in words is "twenty-one trillion, one hundred twenty billion, two hundred two thousand, one hundred".