2011002002121 has 16 divisors (see below), whose sum is σ = 3064660752384. Its totient is φ = 1149040220304.

The previous prime is 2011002002083. The next prime is 2011002002129. The reversal of 2011002002121 is 1212002001102.

It is not a de Polignac number, because 2011002002121 - 2²² = 2010997807817 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2011002002097 and 2011002002106.

It is not an unprimeable number, because it can be changed into a prime (2011002002129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4085835 + ... + 4551488.

It is an arithmetic number, because the mean of its divisors is an integer number (191541297024).

Almost surely, 2^{2011002002121} is an apocalyptic number.

2011002002121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2011002002121 is a deficient number, since it is larger than the sum of its proper divisors (1053658750263).

2011002002121 is a wasteful number, since it uses less digits than its factorization.

2011002002121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8648420.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2011002002121 its reverse (1212002001102), we get a palindrome (3223004003223).

The spelling of 2011002002121 in words is "two trillion, eleven billion, two million, two thousand, one hundred twenty-one".