221102313122000 has 80 divisors (see below), whose sum is σ = 534899710098000. Its totient is φ = 88395546099200.

The previous prime is 221102313121979. The next prime is 221102313122011. The reversal of 221102313122000 is 221313201122.

It can be written as a sum of positive squares in 8 ways, for example, as 20947501000336 + 200154812121664 = 4576844^2 + 14147608^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24462995 + ... + 32258994.

It is an arithmetic number, because the mean of its divisors is an integer number (6686246376225).

Almost surely, 2^{221102313122000} is an apocalyptic number.

221102313122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102313122000 is an abundant number, since it is smaller than the sum of its proper divisors (313797396976000).

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

221102313122000 is a wasteful number, since it uses less digits than its factorization.

221102313122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56723961 (or 56723945 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 221102313122000 its reverse (221313201122), we get a palindrome (221323626323122).

The spelling of 221102313122000 in words is "two hundred twenty-one trillion, one hundred two billion, three hundred thirteen million, one hundred twenty-two thousand".