101003310100 has 108 divisors (see below), whose sum is σ = 275330245792. Its totient is φ = 31481524800.

The previous prime is 101003310071. The next prime is 101003310103. The reversal of 101003310100 is 1013300101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003310103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 511542 + ... + 680941.

Almost surely, 2^101003310100 is an apocalyptic number.

101003310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101003310100 is an abundant number, since it is smaller than the sum of its proper divisors (174326935692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101003310100 is a wasteful number, since it uses less digits than its factorization.

101003310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192526 (or 1192508 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 101003310100 its reverse (1013300101), we get a palindrome (102016610201).

Subtracting from 101003310100 its reverse (1013300101), we obtain a palindrome (99990009999).

The spelling of 101003310100 in words is "one hundred one billion, three million, three hundred ten thousand, one hundred".