221020122110212 has 48 divisors (see below), whose sum is σ = 388435219023600. Its totient is φ = 110039811863040.

The previous prime is 221020122110201. The next prime is 221020122110233. The reversal of 221020122110212 is 212011221020122.

It can be written as a sum of positive squares in 8 ways, for example, as 22863373412356 + 198156748697856 = 4781566^2 + 14076816^2 .

It is a super-2 number, since 2×221020122110212² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 221020122110212.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2525640714 + ... + 2525728222.

It is an arithmetic number, because the mean of its divisors is an integer number (8092400396325).

Almost surely, 2^{221020122110212} is an apocalyptic number.

It is an amenable number.

221020122110212 is a deficient number, since it is larger than the sum of its proper divisors (167415096913388).

221020122110212 is a wasteful number, since it uses less digits than its factorization.

221020122110212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90856 (or 90854 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 221020122110212 its reverse (212011221020122), we get a palindrome (433031343130334).

The spelling of 221020122110212 in words is "two hundred twenty-one trillion, twenty billion, one hundred twenty-two million, one hundred ten thousand, two hundred twelve".