2011010102011 has 8 divisors (see below), whose sum is σ = 2130559590960. Its totient is φ = 1891600032768.

The previous prime is 2011010101931. The next prime is 2011010102027. The reversal of 2011010102011 is 1102010101102.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2011010102011 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2011010102041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34825221 + ... + 34882918.

It is an arithmetic number, because the mean of its divisors is an integer number (266319948870).

Almost surely, 2^{2011010102011} is an apocalyptic number.

2011010102011 is a deficient number, since it is larger than the sum of its proper divisors (119549488949).

2011010102011 is a wasteful number, since it uses less digits than its factorization.

2011010102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69709853.

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

Adding to 2011010102011 its reverse (1102010101102), we get a palindrome (3113020203113).

Subtracting from 2011010102011 its reverse (1102010101102), we obtain a palindrome (909000000909).

The spelling of 2011010102011 in words is "two trillion, eleven billion, ten million, one hundred two thousand, eleven".