101002100103 has 12 divisors (see below), whose sum is σ = 145903440280. Its totient is φ = 67329417456.

The previous prime is 101002100071. The next prime is 101002100117. The reversal of 101002100103 is 301001200101.

It is not a de Polignac number, because 101002100103 - 2⁵ = 101002100071 is a prime.

It is a super-2 number, since 2×101002100103² (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 Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002100503) 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 11 ways as a sum of consecutive naturals, for example, 320893 + ... + 552246.

Almost surely, 2^101002100103 is an apocalyptic number.

101002100103 is a deficient number, since it is larger than the sum of its proper divisors (44901340177).

101002100103 is a wasteful number, since it uses less digits than its factorization.

101002100103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885998 (or 885995 counting only the distinct ones).

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

Adding to 101002100103 its reverse (301001200101), we get a palindrome (402003300204).

The spelling of 101002100103 in words is "one hundred one billion, two million, one hundred thousand, one hundred three".