201120221101056 has 352 divisors, whose sum is σ = 570951611768832. Its totient is φ = 62842373406720.

The previous prime is 201120221101039. The next prime is 201120221101057. The reversal of 201120221101056 is 650101122021102.

It is a happy number.

It is a super-2 number, since 2×201120221101056² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201120221101057) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 433931070 + ... + 434394306.

Almost surely, 2^{201120221101056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201120221101056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285475805884416).

201120221101056 is an abundant number, since it is smaller than the sum of its proper divisors (369831390667776).

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

201120221101056 is a wasteful number, since it uses less digits than its factorization.

201120221101056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463435 (or 463417 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

Adding to 201120221101056 its reverse (650101122021102), we get a palindrome (851221343122158).

The spelling of 201120221101056 in words is "two hundred one trillion, one hundred twenty billion, two hundred twenty-one million, one hundred one thousand, fifty-six".