201123112220121 has 64 divisors (see below), whose sum is σ = 340862086656000. Its totient is φ = 102643055076096.

The previous prime is 201123112220081. The next prime is 201123112220179. The reversal of 201123112220121 is 121022211321102.

It is not a de Polignac number, because 201123112220121 - 2²¹ = 201123110122969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (201123112224121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53809821 + ... + 57425978.

It is an arithmetic number, because the mean of its divisors is an integer number (5325970104000).

Almost surely, 2^{201123112220121} is an apocalyptic number.

201123112220121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201123112220121 is a deficient number, since it is larger than the sum of its proper divisors (139738974435879).

201123112220121 is a wasteful number, since it uses less digits than its factorization.

201123112220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111236038.

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 201123112220121 its reverse (121022211321102), we get a palindrome (322145323541223).

The spelling of 201123112220121 in words is "two hundred one trillion, one hundred twenty-three billion, one hundred twelve million, two hundred twenty thousand, one hundred twenty-one".