101011111000001 has 4 divisors (see below), whose sum is σ = 102011221010004. Its totient is φ = 100011000990000.

The previous prime is 101011110999979. The next prime is 101011111000031. The reversal of 101011111000001 is 100000111110101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 62374928928400 + 38636182071601 = 7897780^2 + 6215801^2 .

It is a cyclic number.

It is not a de Polignac number, because 101011111000001 - 2²⁶ = 101011043891137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101011111000031) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 500055004850 + ... + 500055005051.

It is an arithmetic number, because the mean of its divisors is an integer number (25502805252501).

Almost surely, 2^{101011111000001} is an apocalyptic number.

It is an amenable number.

101011111000001 is a deficient number, since it is larger than the sum of its proper divisors (1000110010003).

101011111000001 is a wasteful number, since it uses less digits than its factorization.

101011111000001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000110010002.

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

Adding to 101011111000001 its reverse (100000111110101), we get a palindrome (201011222110102).

The spelling of 101011111000001 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one", and thus it is an aban number.