10111010001011 has 16 divisors (see below), whose sum is σ = 10264383695808. Its totient is φ = 9958694928000.

The previous prime is 10111010000983. The next prime is 10111010001031. The reversal of 10111010001011 is 11010001011101.

It is a cyclic number.

It is not a de Polignac number, because 10111010001011 - 2⁴² = 5712963489907 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10111010001011.

It is not an unprimeable number, because it can be changed into a prime (10111010001031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160995026 + ... + 161057816.

It is an arithmetic number, because the mean of its divisors is an integer number (641523980988).

Almost surely, 2^{10111010001011} is an apocalyptic number.

10111010001011 is a deficient number, since it is larger than the sum of its proper divisors (153373694797).

10111010001011 is a wasteful number, since it uses less digits than its factorization.

10111010001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71182.

The product of its (nonzero) digits is 1, while the sum is 8.

Adding to 10111010001011 its reverse (11010001011101), we get a palindrome (21121011012112).

It can be divided in two parts, 101 and 11010001011, that multiplied together give a palindrome (1112010102111).

The spelling of 10111010001011 in words is "ten trillion, one hundred eleven billion, ten million, one thousand, eleven".