10101011100111 has 96 divisors (see below), whose sum is σ = 15835996979712. Its totient is φ = 6187162924800.

The previous prime is 10101011100073. The next prime is 10101011100121. The reversal of 10101011100111 is 11100111010101.

It is not a de Polignac number, because 10101011100111 - 2²² = 10101006905807 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 = 10101011100093 and 10101011100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101011100121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1025374336 + ... + 1025384186.

It is an arithmetic number, because the mean of its divisors is an integer number (164958301872).

Almost surely, 2^{10101011100111} is an apocalyptic number.

10101011100111 is a deficient number, since it is larger than the sum of its proper divisors (5734985879601).

10101011100111 is a wasteful number, since it uses less digits than its factorization.

10101011100111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11613 (or 11610 counting only the distinct ones).

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

Adding to 10101011100111 its reverse (11100111010101), we get a palindrome (21201122110212).

The spelling of 10101011100111 in words is "ten trillion, one hundred one billion, eleven million, one hundred thousand, one hundred eleven".