2011002120101 has 24 divisors (see below), whose sum is σ = 2290164480000. Its totient is φ = 1761618995136.

The previous prime is 2011002120053. The next prime is 2011002120199. The reversal of 2011002120101 is 1010212001102.

It is not a de Polignac number, because 2011002120101 - 2²⁶ = 2010935011237 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011002320101) 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 23 ways as a sum of consecutive naturals, for example, 1543226 + ... + 2530523.

It is an arithmetic number, because the mean of its divisors is an integer number (95423520000).

Almost surely, 2^{2011002120101} is an apocalyptic number.

It is an amenable number.

2011002120101 is a deficient number, since it is larger than the sum of its proper divisors (279162359899).

2011002120101 is a wasteful number, since it uses less digits than its factorization.

2011002120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4073925 (or 4073912 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2011002120101 its reverse (1010212001102), we get a palindrome (3021214121203).

The spelling of 2011002120101 in words is "two trillion, eleven billion, two million, one hundred twenty thousand, one hundred one".