100610110100 has 18 divisors (see below), whose sum is σ = 218323939134. Its totient is φ = 40244044000.

The previous prime is 100610110021. The next prime is 100610110103. The reversal of 100610110100 is 1011016001.

It can be written as a sum of positive squares in 3 ways, for example, as 15912813316 + 84697296784 = 126146^2 + 291028^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100610110103) 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 5 ways as a sum of consecutive naturals, for example, 503050451 + ... + 503050650.

Almost surely, 2^100610110100 is an apocalyptic number.

100610110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100610110100 is an abundant number, since it is smaller than the sum of its proper divisors (117713829034).

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

100610110100 is a wasteful number, since it uses less digits than its factorization.

100610110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006101115 (or 1006101108 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 100610110100 its reverse (1011016001), we get a palindrome (101621126101).

The spelling of 100610110100 in words is "one hundred billion, six hundred ten million, one hundred ten thousand, one hundred".