101111000000001 has 16 divisors (see below), whose sum is σ = 144158257433088. Its totient is φ = 62814055520000.

The previous prime is 101110999999957. The next prime is 101111000000011. The reversal of 101111000000001 is 100000000111101.

It is a cyclic number.

It is not a de Polignac number, because 101111000000001 - 2¹⁸ = 101110999737857 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101111000000011) 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, 9814691025 + ... + 9814701326.

It is an arithmetic number, because the mean of its divisors is an integer number (9009891089568).

Almost surely, 2^{101111000000001} is an apocalyptic number.

It is an amenable number.

101111000000001 is a deficient number, since it is larger than the sum of its proper divisors (43047257433087).

101111000000001 is a wasteful number, since it uses less digits than its factorization.

101111000000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19629392472.

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101111000000001 its reverse (100000000111101), we get a palindrome (201111000111102).

The spelling of 101111000000001 in words is "one hundred one trillion, one hundred eleven billion, one", and thus it is an aban number.