221034430122 has 64 divisors (see below), whose sum is σ = 503888532480. Its totient is φ = 63983427200.

The previous prime is 221034430103. The next prime is 221034430153.

It is a happy number.

221034430122 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 221034430092 and 221034430101.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1059529 + ... + 1250867.

It is an arithmetic number, because the mean of its divisors is an integer number (7873258320).

Almost surely, 2^221034430122 is an apocalyptic number.

221034430122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221034430122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251944266240).

221034430122 is an abundant number, since it is smaller than the sum of its proper divisors (282854102358).

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

221034430122 is a wasteful number, since it uses less digits than its factorization.

221034430122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192139.

The product of its (nonzero) digits is 2304, while the sum is 24.

It can be divided in two parts, 221034 and 430122, that added together give a palindrome (651156).

The spelling of 221034430122 in words is "two hundred twenty-one billion, thirty-four million, four hundred thirty thousand, one hundred twenty-two".