101100310100 has 18 divisors (see below), whose sum is σ = 219387673134. Its totient is φ = 40440124000.

The previous prime is 101100310099. The next prime is 101100310117. The reversal of 101100310100 is 1013001101.

It can be written as a sum of positive squares in 3 ways, for example, as 19431244816 + 81669065284 = 139396^2 + 285778^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 505501451 + ... + 505501650.

It is an arithmetic number, because the mean of its divisors is an integer number (12188204063).

Almost surely, 2^101100310100 is an apocalyptic number.

101100310100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100310100 is an abundant number, since it is smaller than the sum of its proper divisors (118287363034).

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

101100310100 is a wasteful number, since it uses less digits than its factorization.

101100310100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1011003115 (or 1011003108 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 101100310100 its reverse (1013001101), we get a palindrome (102113311201).

The spelling of 101100310100 in words is "one hundred one billion, one hundred million, three hundred ten thousand, one hundred".