21100222121120 has 48 divisors (see below), whose sum is σ = 49882530348000. Its totient is φ = 8434458273024.

The previous prime is 21100222121117. The next prime is 21100222121123. The reversal of 21100222121120 is 2112122200112.

It is an interprime number because it is at equal distance from previous prime (21100222121117) and next prime (21100222121123).

It is not an unprimeable number, because it can be changed into a prime (21100222121123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43748282 + ... + 44227961.

It is an arithmetic number, because the mean of its divisors is an integer number (1039219382250).

Almost surely, 2^{21100222121120} is an apocalyptic number.

21100222121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21100222121120 is an abundant number, since it is smaller than the sum of its proper divisors (28782308226880).

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

21100222121120 is a wasteful number, since it uses less digits than its factorization.

21100222121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87977757 (or 87977749 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 21100222121120 its reverse (2112122200112), we get a palindrome (23212344321232).

The spelling of 21100222121120 in words is "twenty-one trillion, one hundred billion, two hundred twenty-two million, one hundred twenty-one thousand, one hundred twenty".