2011000000101 has 12 divisors (see below), whose sum is σ = 2848336794912. Its totient is φ = 1261803921088.

The previous prime is 2011000000057. The next prime is 2011000000103. The reversal of 2011000000101 is 1010000001102.

It is not a de Polignac number, because 2011000000101 - 2³¹ = 2008852516453 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2011000000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011000000103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1159745385 + ... + 1159747118.

It is an arithmetic number, because the mean of its divisors is an integer number (237361399576).

Almost surely, 2^{2011000000101} is an apocalyptic number.

It is an amenable number.

2011000000101 is a deficient number, since it is larger than the sum of its proper divisors (837336794811).

2011000000101 is a wasteful number, since it uses less digits than its factorization.

2011000000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2319492540 (or 2319492523 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 2011000000101 its reverse (1010000001102), we get a palindrome (3021000001203).

The spelling of 2011000000101 in words is "two trillion, eleven billion, one hundred one", and thus it is an aban number.