222101221001121 has 144 divisors (see below), whose sum is σ = 413967773541504. Its totient is φ = 112239654912000.

The previous prime is 222101221001119. The next prime is 222101221001131. The reversal of 222101221001121 is 121100122101222.

222101221001121 is a `hidden beast` number, since 222 + 101 + 221 + 0 + 0 + 1 + 121 = 666.

It is not a de Polignac number, because 222101221001121 - 2¹ = 222101221001119 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 222101221001094 and 222101221001103.

It is not an unprimeable number, because it can be changed into a prime (222101221001111) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1717908001 + ... + 1718037281.

Almost surely, 2^{222101221001121} is an apocalyptic number.

222101221001121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222101221001121 is a deficient number, since it is larger than the sum of its proper divisors (191866552540383).

222101221001121 is a wasteful number, since it uses less digits than its factorization.

222101221001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135444 (or 135430 counting only the distinct ones).

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

Adding to 222101221001121 its reverse (121100122101222), we get a palindrome (343201343102343).

The spelling of 222101221001121 in words is "two hundred twenty-two trillion, one hundred one billion, two hundred twenty-one million, one thousand, one hundred twenty-one".