201122221112120 has 128 divisors (see below), whose sum is σ = 566112565347840. Its totient is φ = 62473494935040.

The previous prime is 201122221112093. The next prime is 201122221112149. The reversal of 201122221112120 is 21211122221102.

It is a super-2 number, since 2×201122221112120² (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 = 201122221112092 and 201122221112101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110530022 + ... + 112334901.

It is an arithmetic number, because the mean of its divisors is an integer number (4422754416780).

Almost surely, 2^{201122221112120} is an apocalyptic number.

201122221112120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122221112120 is an abundant number, since it is smaller than the sum of its proper divisors (364990344235720).

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

201122221112120 is a wasteful number, since it uses less digits than its factorization.

201122221112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222865245 (or 222865241 counting only the distinct ones).

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

Adding to 201122221112120 its reverse (21211122221102), we get a palindrome (222333343333222).

The spelling of 201122221112120 in words is "two hundred one trillion, one hundred twenty-two billion, two hundred twenty-one million, one hundred twelve thousand, one hundred twenty".