101011101011001 has 12 divisors (see below), whose sum is σ = 145978874505828. Its totient is φ = 67306602858144.

The previous prime is 101011101010979. The next prime is 101011101011047. The reversal of 101011101011001 is 100110101110101.

It can be written as a sum of positive squares in 2 ways, for example, as 16914424671225 + 84096676339776 = 4112715^2 + 9170424^2 .

It is not a de Polignac number, because 101011101011001 - 2¹⁷ = 101011100879929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101011101091001) 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, 2844243690 + ... + 2844279203.

It is an arithmetic number, because the mean of its divisors is an integer number (12164906208819).

Almost surely, 2^{101011101011001} is an apocalyptic number.

It is an amenable number.

101011101011001 is a deficient number, since it is larger than the sum of its proper divisors (44967773494827).

101011101011001 is a wasteful number, since it uses less digits than its factorization.

101011101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5688524872 (or 5688524869 counting only the distinct ones).

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

Adding to 101011101011001 its reverse (100110101110101), we get a palindrome (201121202121102).

It can be divided in two parts, 10101110101 and 1001, that multiplied together give a palindrome (10111211211101).

The spelling of 101011101011001 in words is "one hundred one trillion, eleven billion, one hundred one million, eleven thousand, one".