101100310200 has 72 divisors (see below), whose sum is σ = 339528547800. Its totient is φ = 26960082240.

The previous prime is 101100310189. The next prime is 101100310231. The reversal of 101100310200 is 2013001101.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28081620 + ... + 28085219.

It is an arithmetic number, because the mean of its divisors is an integer number (4715674275).

Almost surely, 2^101100310200 is an apocalyptic number.

101100310200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100310200 is an abundant number, since it is smaller than the sum of its proper divisors (238428237600).

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

101100310200 is a wasteful number, since it uses less digits than its factorization.

101100310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56166861 (or 56166849 counting only the distinct ones).

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

Adding to 101100310200 its reverse (2013001101), we get a palindrome (103113311301).

The spelling of 101100310200 in words is "one hundred one billion, one hundred million, three hundred ten thousand, two hundred".