21100022120 has 128 divisors (see below), whose sum is σ = 50649753600. Its totient is φ = 7888435200.

The previous prime is 21100022117. The next prime is 21100022129. The reversal of 21100022120 is 2122000112.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (21100022129) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19886390 + ... + 19887450.

It is an arithmetic number, because the mean of its divisors is an integer number (395701200).

Almost surely, 2^21100022120 is an apocalyptic number.

21100022120 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 21100022120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25324876800).

21100022120 is an abundant number, since it is smaller than the sum of its proper divisors (29549731480).

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

21100022120 is a wasteful number, since it uses less digits than its factorization.

21100022120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1419 (or 1415 counting only the distinct ones).

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

Adding to 21100022120 its reverse (2122000112), we get a palindrome (23222022232).

The spelling of 21100022120 in words is "twenty-one billion, one hundred million, twenty-two thousand, one hundred twenty".