2011002002106 has 192 divisors, whose sum is σ = 4503218457600. Its totient is φ = 596389447680.

The previous prime is 2011002002083. The next prime is 2011002002129. The reversal of 2011002002106 is 6012002001102.

It is an interprime number because it is at equal distance from previous prime (2011002002083) and next prime (2011002002129).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1397498935 + ... + 1397500373.

It is an arithmetic number, because the mean of its divisors is an integer number (23454262800).

Almost surely, 2^{2011002002106} is an apocalyptic number.

2011002002106 is an abundant number, since it is smaller than the sum of its proper divisors (2492216455494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2011002002106 is a wasteful number, since it uses less digits than its factorization.

2011002002106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1814 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2011002002106 its reverse (6012002001102), we get a palindrome (8023004003208).

The spelling of 2011002002106 in words is "two trillion, eleven billion, two million, two thousand, one hundred six".