101011111010001 has 6 divisors (see below), whose sum is σ = 145904938125570. Its totient is φ = 67340740673328.

The previous prime is 101011111009993. The next prime is 101011111010011. The reversal of 101011111010001 is 100010111110101.

It can be written as a sum of positive squares in only one way, i.e., 73143956275776 + 27867154734225 = 8552424^2 + 5278935^2 .

It is not a de Polignac number, because 101011111010001 - 2³ = 101011111009993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11223456778889 = 101011111010001 / (1 + 0 + 1 + 0 + 1 + 1 + 1 + 1 + 1 + 0 + 1 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (101011111010011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611728389436 + ... + 5611728389453.

It is an arithmetic number, because the mean of its divisors is an integer number (24317489687595).

Almost surely, 2^{101011111010001} is an apocalyptic number.

It is an amenable number.

101011111010001 is a deficient number, since it is larger than the sum of its proper divisors (44893827115569).

101011111010001 is a wasteful number, since it uses less digits than its factorization.

101011111010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223456778895 (or 11223456778892 counting only the distinct ones).

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

Adding to 101011111010001 its reverse (100010111110101), we get a palindrome (201021222120102).

The spelling of 101011111010001 in words is "one hundred one trillion, eleven billion, one hundred eleven million, ten thousand, one".