10101011111111 has 8 divisors (see below), whose sum is σ = 10695606330240. Its totient is φ = 9506462347008.

The previous prime is 10101011111053. The next prime is 10101011111119. The reversal of 10101011111111 is 11111111010101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10101011111111 - 2⁶ = 10101011111047 is a prime.

It is a Duffinian number.

10101011111111 is a modest number, since divided by 1111111 gives 1010101 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 10101011111092 and 10101011111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101011111119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11165591 + ... + 12036296.

It is an arithmetic number, because the mean of its divisors is an integer number (1336950791280).

Almost surely, 2^{10101011111111} is an apocalyptic number.

10101011111111 is a deficient number, since it is larger than the sum of its proper divisors (594595219129).

10101011111111 is a wasteful number, since it uses less digits than its factorization.

10101011111111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23227513.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 10101011111111 its reverse (11111111010101), we get a palindrome (21212122121212).

It can be divided in two parts, 1010101 and 1111111, that multiplied together give a palindrome (1122334332211).

The spelling of 10101011111111 in words is "ten trillion, one hundred one billion, eleven million, one hundred eleven thousand, one hundred eleven".