2011010001121 has 8 divisors (see below), whose sum is σ = 2221599081600. Its totient is φ = 1805049252240.

The previous prime is 2011010001083. The next prime is 2011010001149. The reversal of 2011010001121 is 1211000101102.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2011010001121 - 2³⁹ = 1461254187233 is a prime.

It is a super-2 number, since 2×2011010001121² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2011010001098 and 2011010001107.

It is not an unprimeable number, because it can be changed into a prime (2011010007121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1157081986 + ... + 1157083723.

It is an arithmetic number, because the mean of its divisors is an integer number (277699885200).

Almost surely, 2^{2011010001121} is an apocalyptic number.

It is an amenable number.

2011010001121 is a deficient number, since it is larger than the sum of its proper divisors (210589080479).

2011010001121 is a wasteful number, since it uses less digits than its factorization.

2011010001121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2314165799.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2011010001121 its reverse (1211000101102), we get a palindrome (3222010102223).

The spelling of 2011010001121 in words is "two trillion, eleven billion, ten million, one thousand, one hundred twenty-one".