100610101003 has 16 divisors (see below), whose sum is σ = 104105560000. Its totient is φ = 97157947392.

The previous prime is 100610101001. The next prime is 100610101021. The reversal of 100610101003 is 300101016001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100610101003 - 2¹ = 100610101001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100610101001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2994763 + ... + 3028171.

It is an arithmetic number, because the mean of its divisors is an integer number (6506597500).

Almost surely, 2^100610101003 is an apocalyptic number.

100610101003 is a deficient number, since it is larger than the sum of its proper divisors (3495458997).

100610101003 is a wasteful number, since it uses less digits than its factorization.

100610101003 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34054.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 100610101003 its reverse (300101016001), we get a palindrome (400711117004).

The spelling of 100610101003 in words is "one hundred billion, six hundred ten million, one hundred one thousand, three".