2010101101011 has 12 divisors (see below), whose sum is σ = 2933412146392. Its totient is φ = 1326252272256.

The previous prime is 2010101100983. The next prime is 2010101101061. The reversal of 2010101101011 is 1101011010102.

It is not a de Polignac number, because 2010101101011 - 2⁹ = 2010101100499 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2010101100984 and 2010101101002.

It is not an unprimeable number, because it can be changed into a prime (2010101101061) 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, 1151259781 + ... + 1151261526.

Almost surely, 2^{2010101101011} is an apocalyptic number.

2010101101011 is a deficient number, since it is larger than the sum of its proper divisors (923311045381).

2010101101011 is a wasteful number, since it uses less digits than its factorization.

2010101101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2302521410 (or 2302521407 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2010101101011 its reverse (1101011010102), we get a palindrome (3111112111113).

Subtracting from 2010101101011 its reverse (1101011010102), we obtain a palindrome (909090090909).

It can be divided in two parts, 2010101 and 101011, that added together give a palindrome (2111112).

The spelling of 2010101101011 in words is "two trillion, ten billion, one hundred one million, one hundred one thousand, eleven".