202222110201120 has 144 divisors (see below), whose sum is σ = 690172925295672. Its totient is φ = 53918865100800.

The previous prime is 202222110201103. The next prime is 202222110201143. The reversal of 202222110201120 is 21102011222202.

It is a happy number.

202222110201120 is a `hidden beast` number, since 20 + 222 + 211 + 0 + 201 + 12 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 165261206316816 + 36960903884304 = 12855396^2 + 6079548^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 = 202222110201093 and 202222110201102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1898070 + ... + 20200170.

Almost surely, 2^{202222110201120} is an apocalyptic number.

202222110201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202222110201120 is an abundant number, since it is smaller than the sum of its proper divisors (487950815094552).

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

202222110201120 is a wasteful number, since it uses less digits than its factorization.

202222110201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18309795 (or 18309784 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202222110201120 its reverse (21102011222202), we get a palindrome (223324121423322).

The spelling of 202222110201120 in words is "two hundred two trillion, two hundred twenty-two billion, one hundred ten million, two hundred one thousand, one hundred twenty".