101103002001 has 6 divisors (see below), whose sum is σ = 146037669570. Its totient is φ = 67402001328.

The previous prime is 101103001997. The next prime is 101103002003. The reversal of 101103002001 is 100200301101.

It can be written as a sum of positive squares in only one way, i.e., 78961562001 + 22141440000 = 281001^2 + 148800^2 .

It is not a de Polignac number, because 101103002001 - 2² = 101103001997 is a prime.

It is a super-2 number, since 2×101103002001² (a number of 23 digits) contains 22 as substring.

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: 11233666889 = 101103002001 / (1 + 0 + 1 + 1 + 0 + 3 + 0 + 0 + 2 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (101103002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5616833436 + ... + 5616833453.

It is an arithmetic number, because the mean of its divisors is an integer number (24339611595).

Almost surely, 2^101103002001 is an apocalyptic number.

It is an amenable number.

101103002001 is a deficient number, since it is larger than the sum of its proper divisors (44934667569).

101103002001 is a wasteful number, since it uses less digits than its factorization.

101103002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11233666895 (or 11233666892 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101103002001 its reverse (100200301101), we get a palindrome (201303303102).

The spelling of 101103002001 in words is "one hundred one billion, one hundred three million, two thousand, one".