221022110002120 has 64 divisors (see below), whose sum is σ = 601774484388480. Its totient is φ = 71321420368896.

The previous prime is 221022110002081. The next prime is 221022110002123. The reversal of 221022110002120 is 21200011220122.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 221022110002094 and 221022110002103.

It is not an unprimeable number, because it can be changed into a prime (221022110002123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23216603434 + ... + 23216612953.

It is an arithmetic number, because the mean of its divisors is an integer number (9402726318570).

Almost surely, 2^{221022110002120} is an apocalyptic number.

221022110002120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221022110002120 is an abundant number, since it is smaller than the sum of its proper divisors (380752374386360).

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

221022110002120 is a wasteful number, since it uses less digits than its factorization.

221022110002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46433216422 (or 46433216418 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 221022110002120 its reverse (21200011220122), we get a palindrome (242222121222242).

The spelling of 221022110002120 in words is "two hundred twenty-one trillion, twenty-two billion, one hundred ten million, two thousand, one hundred twenty".