201121001111121 has 256 divisors, whose sum is σ = 354433940324352. Its totient is φ = 98601129446400.

The previous prime is 201121001111089. The next prime is 201121001111167. The reversal of 201121001111121 is 121111100121102.

It is not a de Polignac number, because 201121001111121 - 2⁵ = 201121001111089 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 201121001111121.

It is not an unprimeable number, because it can be changed into a prime (201121001111021) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 9481909206 + ... + 9481930416.

It is an arithmetic number, because the mean of its divisors is an integer number (1384507579392).

Almost surely, 2^{201121001111121} is an apocalyptic number.

201121001111121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

201121001111121 is a deficient number, since it is larger than the sum of its proper divisors (153312939213231).

201121001111121 is a wasteful number, since it uses less digits than its factorization.

201121001111121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21692.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 201121001111121 its reverse (121111100121102), we get a palindrome (322232101232223).

The spelling of 201121001111121 in words is "two hundred one trillion, one hundred twenty-one billion, one million, one hundred eleven thousand, one hundred twenty-one".