101010111010011 has 336 divisors, whose sum is σ = 194792998003200. Its totient is φ = 51923323178496.

The previous prime is 101010111010009. The next prime is 101010111010019. The reversal of 101010111010011 is 110010111010101.

It is not a de Polignac number, because 101010111010011 - 2¹ = 101010111010009 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101010111009975 and 101010111010002.

It is not an unprimeable number, because it can be changed into a prime (101010111010019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 30433897410 + ... + 30433900728.

Almost surely, 2^{101010111010011} is an apocalyptic number.

101010111010011 is a deficient number, since it is larger than the sum of its proper divisors (93782886993189).

101010111010011 is a wasteful number, since it uses less digits than its factorization.

101010111010011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5570 (or 5548 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101010111010011 its reverse (110010111010101), we get a palindrome (211020222020112).

The spelling of 101010111010011 in words is "one hundred one trillion, ten billion, one hundred eleven million, ten thousand, eleven".