221002100221122 has 48 divisors (see below), whose sum is σ = 536486670824832. Its totient is φ = 65160324387360.

The previous prime is 221002100221117. The next prime is 221002100221129. The reversal of 221002100221122 is 221122001200122.

It is a happy number.

221002100221122 is a `hidden beast` number, since 2 + 210 + 0 + 210 + 0 + 221 + 1 + 22 = 666.

It is a super-2 number, since 2×221002100221122² (a number of 29 digits) contains 22 as substring.

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 = 221002100221095 and 221002100221104.

It is not an unprimeable number, because it can be changed into a prime (221002100221129) 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 23 ways as a sum of consecutive naturals, for example, 15083401098 + ... + 15083415749.

It is an arithmetic number, because the mean of its divisors is an integer number (11176805642184).

Almost surely, 2^{221002100221122} is an apocalyptic number.

221002100221122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

221002100221122 is an abundant number, since it is smaller than the sum of its proper divisors (315484570603710).

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

221002100221122 is a wasteful number, since it uses less digits than its factorization.

221002100221122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30166816903 (or 30166816900 counting only the distinct ones).

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

Adding to 221002100221122 its reverse (221122001200122), we get a palindrome (442124101421244).

The spelling of 221002100221122 in words is "two hundred twenty-one trillion, two billion, one hundred million, two hundred twenty-one thousand, one hundred twenty-two".