10101001010111 has 12 divisors (see below), whose sum is σ = 11485606738200. Its totient is φ = 8866082388240.

The previous prime is 10101001010101. The next prime is 10101001010143. The reversal of 10101001010111 is 11101010010101.

It is not a de Polignac number, because 10101001010111 - 2⁶ = 10101001010047 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001010101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1439295581 + ... + 1439302598.

It is an arithmetic number, because the mean of its divisors is an integer number (957133894850).

Almost surely, 2^{10101001010111} is an apocalyptic number.

10101001010111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10101001010111 is a deficient number, since it is larger than the sum of its proper divisors (1384605728089).

10101001010111 is a wasteful number, since it uses less digits than its factorization.

10101001010111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2878598230 (or 2878598219 counting only the distinct ones).

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

Adding to 10101001010111 its reverse (11101010010101), we get a palindrome (21202011020212).

It can be divided in two parts, 101010010101 and 11, that multiplied together give a palindrome (1111110111111).

The spelling of 10101001010111 in words is "ten trillion, one hundred one billion, one million, ten thousand, one hundred eleven".