201121000000101 has 12 divisors (see below), whose sum is σ = 305798011696320. Its totient is φ = 127023789473640.

The previous prime is 201121000000069. The next prime is 201121000000157. The reversal of 201121000000101 is 101000000121102.

It is a happy number.

It is not a de Polignac number, because 201121000000101 - 2⁵ = 201121000000069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201121000000171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 588073099245 + ... + 588073099586.

It is an arithmetic number, because the mean of its divisors is an integer number (25483167641360).

Almost surely, 2^{201121000000101} is an apocalyptic number.

It is an amenable number.

201121000000101 is a deficient number, since it is larger than the sum of its proper divisors (104677011696219).

201121000000101 is a wasteful number, since it uses less digits than its factorization.

201121000000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176146198856 (or 1176146198853 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 201121000000101 its reverse (101000000121102), we get a palindrome (302121000121203).

The spelling of 201121000000101 in words is "two hundred one trillion, one hundred twenty-one billion, one hundred one", and thus it is an aban number.