2011100000121 has 24 divisors (see below), whose sum is σ = 2961977198856. Its totient is φ = 1314540714240.

The previous prime is 2011100000101. The next prime is 2011100000123. The reversal of 2011100000121 is 1210000011102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 47567610000 + 1963532390121 = 218100^2 + 1401261^2 .

It is not a de Polignac number, because 2011100000121 - 2¹⁵ = 2011099967353 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2011100000123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5679930 + ... + 6023603.

It is an arithmetic number, because the mean of its divisors is an integer number (123415716619).

Almost surely, 2^{2011100000121} is an apocalyptic number.

It is an amenable number.

2011100000121 is a deficient number, since it is larger than the sum of its proper divisors (950877198735).

2011100000121 is a wasteful number, since it uses less digits than its factorization.

2011100000121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11703913 (or 11703910 counting only the distinct ones).

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

Adding to 2011100000121 its reverse (1210000011102), we get a palindrome (3221100011223).

The spelling of 2011100000121 in words is "two trillion, eleven billion, one hundred million, one hundred twenty-one", and thus it is an aban number.