10111010101011 has 64 divisors (see below), whose sum is σ = 16128228441600. Its totient is φ = 6241203446400.

The previous prime is 10111010100977. The next prime is 10111010101039. The reversal of 10111010101011 is 11010101011101.

It is not a de Polignac number, because 10111010101011 - 2¹⁷ = 10111009969939 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 = 10111010100984 and 10111010101002.

It is not an unprimeable number, because it can be changed into a prime (10111010101061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3883996 + ... + 5942006.

It is an arithmetic number, because the mean of its divisors is an integer number (252003569400).

Almost surely, 2^{10111010101011} is an apocalyptic number.

10111010101011 is a deficient number, since it is larger than the sum of its proper divisors (6017218340589).

10111010101011 is a wasteful number, since it uses less digits than its factorization.

10111010101011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058257 (or 2058251 counting only the distinct ones).

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

Adding to 10111010101011 its reverse (11010101011101), we get a palindrome (21121111112112).

It can be divided in two parts, 101 and 11010101011, that multiplied together give a palindrome (1112020202111).

The spelling of 10111010101011 in words is "ten trillion, one hundred eleven billion, ten million, one hundred one thousand, eleven".