101100434103200 has 72 divisors (see below), whose sum is σ = 282070211163552. Its totient is φ = 34663005976320.

The previous prime is 101100434103191. The next prime is 101100434103301. The reversal of 101100434103200 is 2301434001101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9026818874 + ... + 9026830073.

It is an arithmetic number, because the mean of its divisors is an integer number (3917641821716).

Almost surely, 2^{101100434103200} is an apocalyptic number.

101100434103200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101100434103200 is an abundant number, since it is smaller than the sum of its proper divisors (180969777060352).

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

101100434103200 is a wasteful number, since it uses less digits than its factorization.

101100434103200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18053648974 (or 18053648961 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 101100434103200 its reverse (2301434001101), we get a palindrome (103401868104301).

The spelling of 101100434103200 in words is "one hundred one trillion, one hundred billion, four hundred thirty-four million, one hundred three thousand, two hundred".