10101101010111 has 48 divisors (see below), whose sum is σ = 15775991843040. Its totient is φ = 6206235863040.

The previous prime is 10101101010109. The next prime is 10101101010151. The reversal of 10101101010111 is 11101010110101.

It is not a de Polignac number, because 10101101010111 - 2¹ = 10101101010109 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 = 10101101010093 and 10101101010102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101101010151) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40831351 + ... + 41077991.

It is an arithmetic number, because the mean of its divisors is an integer number (328666496730).

Almost surely, 2^{10101101010111} is an apocalyptic number.

10101101010111 is a deficient number, since it is larger than the sum of its proper divisors (5674890832929).

10101101010111 is a wasteful number, since it uses less digits than its factorization.

10101101010111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253176 (or 253173 counting only the distinct ones).

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

Adding to 10101101010111 its reverse (11101010110101), we get a palindrome (21202111120212).

The spelling of 10101101010111 in words is "ten trillion, one hundred one billion, one hundred one million, ten thousand, one hundred eleven".