222000102101120 has 128 divisors (see below), whose sum is σ = 642214581298560. Its totient is φ = 71637007712256.

The previous prime is 222000102101111. The next prime is 222000102101207. The reversal of 222000102101120 is 21101201000222.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 222000102101095 and 222000102101104.

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, 1457382494 + ... + 1457534813.

It is an arithmetic number, because the mean of its divisors is an integer number (5017301416395).

Almost surely, 2^{222000102101120} is an apocalyptic number.

222000102101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222000102101120 is an abundant number, since it is smaller than the sum of its proper divisors (420214479197440).

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

222000102101120 is a wasteful number, since it uses less digits than its factorization.

222000102101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2914917350 (or 2914917338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222000102101120 its reverse (21101201000222), we get a palindrome (243101303101342).

It can be divided in two parts, 222000102 and 101120, that added together give a palindrome (222101222).

The spelling of 222000102101120 in words is "two hundred twenty-two trillion, one hundred two million, one hundred one thousand, one hundred twenty".