100003102101 has 48 divisors (see below), whose sum is σ = 165955046400. Its totient is φ = 56843748864.

The previous prime is 100003102093. The next prime is 100003102109. The reversal of 100003102101 is 101201300001.

It is an interprime number because it is at equal distance from previous prime (100003102093) and next prime (100003102109).

It is not a de Polignac number, because 100003102101 - 2³ = 100003102093 is a prime.

It is a super-2 number, since 2×100003102101² (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).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100003102109) 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 47 ways as a sum of consecutive naturals, for example, 20758045 + ... + 20762861.

It is an arithmetic number, because the mean of its divisors is an integer number (3457396800).

Almost surely, 2^100003102101 is an apocalyptic number.

It is an amenable number.

100003102101 is a deficient number, since it is larger than the sum of its proper divisors (65951944299).

100003102101 is a wasteful number, since it uses less digits than its factorization.

100003102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6498 (or 6495 counting only the distinct ones).

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

Adding to 100003102101 its reverse (101201300001), we get a palindrome (201204402102).

The spelling of 100003102101 in words is "one hundred billion, three million, one hundred two thousand, one hundred one".