101103111001 has 8 divisors (see below), whose sum is σ = 102206645064. Its totient is φ = 100001587200.

The previous prime is 101103110939. The next prime is 101103111007. The reversal of 101103111001 is 100111301101.

It can be written as a sum of positive squares in 4 ways, for example, as 81313374025 + 19789736976 = 285155^2 + 140676^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101103111001 - 2⁹ = 101103110489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101103111007) 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 7 ways as a sum of consecutive naturals, for example, 401320 + ... + 602713.

It is an arithmetic number, because the mean of its divisors is an integer number (12775830633).

Almost surely, 2^101103111001 is an apocalyptic number.

It is an amenable number.

101103111001 is a deficient number, since it is larger than the sum of its proper divisors (1103534063).

101103111001 is a wasteful number, since it uses less digits than its factorization.

101103111001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005131.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101103111001 its reverse (100111301101), we get a palindrome (201214412102).

The spelling of 101103111001 in words is "one hundred one billion, one hundred three million, one hundred eleven thousand, one".