221201112102120 has 64 divisors (see below), whose sum is σ = 737337040344000. Its totient is φ = 58986963226944.

The previous prime is 221201112102097. The next prime is 221201112102143. The reversal of 221201112102120 is 21201211102122.

221201112102120 is a `hidden beast` number, since 221 + 2 + 0 + 111 + 210 + 2 + 120 = 666.

It is an interprime number because it is at equal distance from previous prime (221201112102097) and next prime (221201112102143).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221201112102093 and 221201112102102.

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, 102407921190 + ... + 102407923349.

It is an arithmetic number, because the mean of its divisors is an integer number (11520891255375).

Almost surely, 2^{221201112102120} is an apocalyptic number.

221201112102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221201112102120 is an abundant number, since it is smaller than the sum of its proper divisors (516135928241880).

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

221201112102120 is a wasteful number, since it uses less digits than its factorization.

221201112102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204815844559 (or 204815844549 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221201112102120 its reverse (21201211102122), we get a palindrome (242402323204242).

The spelling of 221201112102120 in words is "two hundred twenty-one trillion, two hundred one billion, one hundred twelve million, one hundred two thousand, one hundred twenty".