221201000102122 has 8 divisors (see below), whose sum is σ = 331801595574372. Its totient is φ = 110600468244000.

The previous prime is 221201000102111. The next prime is 221201000102161.

It is a happy number.

221201000102122 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 221199019763121 + 1980339001 = 14872761^2 + 44501^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a junction number, because it is equal to n+sod(n) for n = 221201000102096 and 221201000102105.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5969379 + ... + 21864022.

Almost surely, 2^{221201000102122} is an apocalyptic number.

221201000102122 is a deficient number, since it is larger than the sum of its proper divisors (110600595472250).

221201000102122 is a wasteful number, since it uses less digits than its factorization.

221201000102122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31807064.

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

It can be divided in two parts, 221201000 and 102122, that added together give a palindrome (221303122).

The spelling of 221201000102122 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred two thousand, one hundred twenty-two".