201121112221220 has 24 divisors (see below), whose sum is σ = 423357552631608. Its totient is φ = 80257355942400.

The previous prime is 201121112221189. The next prime is 201121112221261. The reversal of 201121112221220 is 22122211121102.

201121112221220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9090417961024 + 192030694260196 = 3015032^2 + 13857514^2 .

It is a super-2 number, since 2×201121112221220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201121112221192 and 201121112221201.

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, 11943050501 + ... + 11943067340.

It is an arithmetic number, because the mean of its divisors is an integer number (17639898026317).

Almost surely, 2^{201121112221220} is an apocalyptic number.

201121112221220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201121112221220 is an abundant number, since it is smaller than the sum of its proper divisors (222236440410388).

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

201121112221220 is a wasteful number, since it uses less digits than its factorization.

201121112221220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23886118271 (or 23886118269 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 201121112221220 its reverse (22122211121102), we get a palindrome (223243323342322).

The spelling of 201121112221220 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred twelve million, two hundred twenty-one thousand, two hundred twenty".