101101105001 has 16 divisors (see below), whose sum is σ = 110278193424. Its totient is φ = 92128886784.

The previous prime is 101101104961. The next prime is 101101105033. The reversal of 101101105001 is 100501101101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 263737600 + 100837367401 = 16240^2 + 317549^2 .

It is a cyclic number.

It is not a de Polignac number, because 101101105001 - 2²² = 101096910697 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101101105201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 399641 + ... + 601593.

It is an arithmetic number, because the mean of its divisors is an integer number (6892387089).

Almost surely, 2^101101105001 is an apocalyptic number.

It is an amenable number.

101101105001 is a deficient number, since it is larger than the sum of its proper divisors (9177088423).

101101105001 is a wasteful number, since it uses less digits than its factorization.

101101105001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202460.

The product of its (nonzero) digits is 5, while the sum is 11.

Adding to 101101105001 its reverse (100501101101), we get a palindrome (201602206102).

It can be divided in two parts, 10110 and 1105001, that added together give a palindrome (1115111).

The spelling of 101101105001 in words is "one hundred one billion, one hundred one million, one hundred five thousand, one".