21120220022100 has 36 divisors (see below), whose sum is σ = 61107836598144. Its totient is φ = 5632058672480.

The previous prime is 21120220022087. The next prime is 21120220022107. The reversal of 21120220022100 is 122002202112.

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 21120220022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21120220022107) 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 11 ways as a sum of consecutive naturals, for example, 35200366404 + ... + 35200367003.

It is an arithmetic number, because the mean of its divisors is an integer number (1697439905504).

Almost surely, 2^{21120220022100} is an apocalyptic number.

21120220022100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21120220022100 is an abundant number, since it is smaller than the sum of its proper divisors (39987616576044).

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

21120220022100 is a wasteful number, since it uses less digits than its factorization.

21120220022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70400733424 (or 70400733417 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 21120220022100 its reverse (122002202112), we get a palindrome (21242222224212).

The spelling of 21120220022100 in words is "twenty-one trillion, one hundred twenty billion, two hundred twenty million, twenty-two thousand, one hundred".