221012221110120 has 192 divisors, whose sum is σ = 783913016802240. Its totient is φ = 53556550502400.

The previous prime is 221012221110119. The next prime is 221012221110157. The reversal of 221012221110120 is 21011122210122.

221012221110120 is a `hidden beast` number, since 2 + 210 + 1 + 2 + 221 + 110 + 120 = 666.

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 = 221012221110093 and 221012221110102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1974226 + ... + 21116865.

It is an arithmetic number, because the mean of its divisors is an integer number (4082880295845).

Almost surely, 2^{221012221110120} is an apocalyptic number.

221012221110120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221012221110120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391956508401120).

221012221110120 is an abundant number, since it is smaller than the sum of its proper divisors (562900795692120).

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

221012221110120 is a wasteful number, since it uses less digits than its factorization.

221012221110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23093536 (or 23093529 counting only the distinct ones).

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

Adding to 221012221110120 its reverse (21011122210122), we get a palindrome (242023343320242).

The spelling of 221012221110120 in words is "two hundred twenty-one trillion, twelve billion, two hundred twenty-one million, one hundred ten thousand, one hundred twenty".