221102120002000 has 40 divisors (see below), whose sum is σ = 534624926169672. Its totient is φ = 88440848000000.

The previous prime is 221102120001989. The next prime is 221102120002009. The reversal of 221102120002000 is 200021201122.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1363121630784 + 219738998371216 = 1167528^2 + 14823596^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×221102120002000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221102120002009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55275528001 + ... + 55275532000.

Almost surely, 2^{221102120002000} is an apocalyptic number.

221102120002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221102120002000 is an abundant number, since it is smaller than the sum of its proper divisors (313522806167672).

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

221102120002000 is a wasteful number, since it uses less digits than its factorization.

221102120002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110551060024 (or 110551060008 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 221102120002000 its reverse (200021201122), we get a palindrome (221302141203122).

The spelling of 221102120002000 in words is "two hundred twenty-one trillion, one hundred two billion, one hundred twenty million, two thousand".