201122110101120 has 128 divisors (see below), whose sum is σ = 690390320336640. Its totient is φ = 49506980941824.

The previous prime is 201122110101109. The next prime is 201122110101137. The reversal of 201122110101120 is 21101011221102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 201122110101120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4028863464 + ... + 4028913383.

It is an arithmetic number, because the mean of its divisors is an integer number (5393674377630).

Almost surely, 2^{201122110101120} is an apocalyptic number.

201122110101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122110101120 is an abundant number, since it is smaller than the sum of its proper divisors (489268210235520).

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

201122110101120 is a wasteful number, since it uses less digits than its factorization.

201122110101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8057776882 (or 8057776870 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 201122110101120 its reverse (21101011221102), we get a palindrome (222223121322222).

The spelling of 201122110101120 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred ten million, one hundred one thousand, one hundred twenty".