10110010111011 has 24 divisors (see below), whose sum is σ = 14647238882640. Its totient is φ = 6719750908416.

The previous prime is 10110010111007. The next prime is 10110010111021. The reversal of 10110010111011 is 11011101001101.

It is not a de Polignac number, because 10110010111011 - 2² = 10110010111007 is a prime.

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

10110010111011 is a modest number, since divided by 10111011 gives 101100 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10110010110984 and 10110010111002.

It is not an unprimeable number, because it can be changed into a prime (10110010111001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112597711 + ... + 112687463.

It is an arithmetic number, because the mean of its divisors is an integer number (610301620110).

Almost surely, 2^{10110010111011} is an apocalyptic number.

10110010111011 is a deficient number, since it is larger than the sum of its proper divisors (4537228771629).

10110010111011 is a wasteful number, since it uses less digits than its factorization.

10110010111011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127235 (or 127232 counting only the distinct ones).

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

Adding to 10110010111011 its reverse (11011101001101), we get a palindrome (21121111112112).

The spelling of 10110010111011 in words is "ten trillion, one hundred ten billion, ten million, one hundred eleven thousand, eleven".