201122110111120 has 40 divisors (see below), whose sum is σ = 510118806556800. Its totient is φ = 73135312767360.

The previous prime is 201122110111051. The next prime is 201122110111133. The reversal of 201122110111120 is 21111011221102.

It is a tau number, because it is divible by the number of its divisors (40).

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 = 201122110111094 and 201122110111103.

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, 114273925320 + ... + 114273927079.

It is an arithmetic number, because the mean of its divisors is an integer number (12752970163920).

Almost surely, 2^{201122110111120} is an apocalyptic number.

201122110111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201122110111120 is an abundant number, since it is smaller than the sum of its proper divisors (308996696445680).

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

201122110111120 is a wasteful number, since it uses less digits than its factorization.

201122110111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228547852423 (or 228547852417 counting only the distinct ones).

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

Adding to 201122110111120 its reverse (21111011221102), we get a palindrome (222233121332222).

The spelling of 201122110111120 in words is "two hundred one trillion, one hundred twenty-two billion, one hundred ten million, one hundred eleven thousand, one hundred twenty".