221010012222120 has 96 divisors (see below), whose sum is σ = 783580952437920. Its totient is φ = 53578184780160.

The previous prime is 221010012222049. The next prime is 221010012222157. The reversal of 221010012222120 is 21222210010122.

It is a happy number.

221010012222120 is a `hidden beast` number, since 2 + 210 + 100 + 12 + 222 + 120 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221010012222093 and 221010012222102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27905300614 + ... + 27905308533.

It is an arithmetic number, because the mean of its divisors is an integer number (8162301587895).

Almost surely, 2^{221010012222120} is an apocalyptic number.

221010012222120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221010012222120 is an abundant number, since it is smaller than the sum of its proper divisors (562570940215800).

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

221010012222120 is a wasteful number, since it uses less digits than its factorization.

221010012222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55810609175 (or 55810609168 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221010012222120 its reverse (21222210010122), we get a palindrome (242232222232242).

The spelling of 221010012222120 in words is "two hundred twenty-one trillion, ten billion, twelve million, two hundred twenty-two thousand, one hundred twenty".