10101111111111 has 16 divisors (see below), whose sum is σ = 13832396720000. Its totient is φ = 6551956224288.

The previous prime is 10101111111079. The next prime is 10101111111121. The reversal of 10101111111111 is 11111111110101.

It is not a de Polignac number, because 10101111111111 - 2⁵ = 10101111111079 is a prime.

10101111111111 is a modest number, since divided by 1111111 gives 1010111 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101111111121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5740440 + ... + 7290738.

It is an arithmetic number, because the mean of its divisors is an integer number (864524795000).

Almost surely, 2^{10101111111111} is an apocalyptic number.

10101111111111 is a deficient number, since it is larger than the sum of its proper divisors (3731285608889).

10101111111111 is a wasteful number, since it uses less digits than its factorization.

10101111111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609038.

The product of its (nonzero) digits is 1, while the sum is 12.

Adding to 10101111111111 its reverse (11111111110101), we get a palindrome (21212222221212).

It can be divided in two parts, 10101 and 111111111, that multiplied together give a palindrome (1122333332211).

The spelling of 10101111111111 in words is "ten trillion, one hundred one billion, one hundred eleven million, one hundred eleven thousand, one hundred eleven".