201121011111111 has 256 divisors, whose sum is σ = 364743149568000. Its totient is φ = 97609807766016.

The previous prime is 201121011111103. The next prime is 201121011111179. The reversal of 201121011111111 is 111111110121102.

It is a happy number.

It is not a de Polignac number, because 201121011111111 - 2³ = 201121011111103 is a prime.

It is a super-2 number, since 2×201121011111111² (a number of 29 digits) contains 22 as substring.

201121011111111 is a modest number, since divided by 11111111 gives 2011210 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121011111011) 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, 5294450460 + ... + 5294488446.

It is an arithmetic number, because the mean of its divisors is an integer number (1424777928000).

Almost surely, 2^{201121011111111} is an apocalyptic number.

201121011111111 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

201121011111111 is a deficient number, since it is larger than the sum of its proper divisors (163622138456889).

201121011111111 is a wasteful number, since it uses less digits than its factorization.

201121011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38643 (or 38629 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 15.

Adding to 201121011111111 its reverse (111111110121102), we get a palindrome (312232121232213).

Subtracting from 201121011111111 its reverse (111111110121102), we obtain a palindrome (90009900990009).

The spelling of 201121011111111 in words is "two hundred one trillion, one hundred twenty-one billion, eleven million, one hundred eleven thousand, one hundred eleven".