222100321101120 has 896 divisors, whose sum is σ = 977291759001600. Its totient is φ = 46130168217600.

The previous prime is 222100321101053. The next prime is 222100321101133. The reversal of 222100321101120 is 21101123001222.

222100321101120 is a `hidden beast` number, since 2 + 2 + 210 + 0 + 321 + 10 + 1 + 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 = 222100321101093 and 222100321101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1517430501 + ... + 1517576859.

It is an arithmetic number, because the mean of its divisors is an integer number (1090727409600).

Almost surely, 2^{222100321101120} is an apocalyptic number.

222100321101120 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 222100321101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488645879500800).

222100321101120 is an abundant number, since it is smaller than the sum of its proper divisors (755191437900480).

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

222100321101120 is a wasteful number, since it uses less digits than its factorization.

222100321101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148684 (or 148668 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 222100321101120 its reverse (21101123001222), we get a palindrome (243201444102342).

The spelling of 222100321101120 in words is "two hundred twenty-two trillion, one hundred billion, three hundred twenty-one million, one hundred one thousand, one hundred twenty".