201120221101120 has 56 divisors (see below), whose sum is σ = 478918918237464. Its totient is φ = 80447854657536.

The previous prime is 201120221101057. The next prime is 201120221101147. The reversal of 201120221101120 is 21101122021102.

It can be written as a sum of positive squares in 4 ways, for example, as 31096772296704 + 170023448804416 = 5576448^2 + 13039304^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 201120221101094 and 201120221101103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146496594 + ... + 147863086.

Almost surely, 2^{201120221101120} is an apocalyptic number.

201120221101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201120221101120 is an abundant number, since it is smaller than the sum of its proper divisors (277798697136344).

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

201120221101120 is a wasteful number, since it uses less digits than its factorization.

201120221101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1826447 (or 1826437 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201120221101120 its reverse (21101122021102), we get a palindrome (222221343122222).

The spelling of 201120221101120 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty".