101101200011001 has 6 divisors (see below), whose sum is σ = 146035066682570. Its totient is φ = 67400800007328.

The previous prime is 101101200010963. The next prime is 101101200011027. The reversal of 101101200011001 is 100110002101101.

It can be written as a sum of positive squares in only one way, i.e., 96730273874025 + 4370926136976 = 9835155^2 + 2090676^2 .

It is not a de Polignac number, because 101101200011001 - 2¹⁴ = 101101199994617 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: 11233466667889 = 101101200011001 / (1 + 0 + 1 + 1 + 0 + 1 + 2 + 0 + 0 + 0 + 1 + 1 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101101200011081) 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, 5616733333936 + ... + 5616733333953.

Almost surely, 2^{101101200011001} is an apocalyptic number.

It is an amenable number.

101101200011001 is a deficient number, since it is larger than the sum of its proper divisors (44933866671569).

101101200011001 is a wasteful number, since it uses less digits than its factorization.

101101200011001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233466667895 (or 11233466667892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101200011001 its reverse (100110002101101), we get a palindrome (201211202112102).

The spelling of 101101200011001 in words is "one hundred one trillion, one hundred one billion, two hundred million, eleven thousand, one".