101100201200 has 60 divisors (see below), whose sum is σ = 243252663720. Its totient is φ = 40380238080.

The previous prime is 101100201193. The next prime is 101100201211. The reversal of 101100201200 is 2102001101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

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, 84131 + ... + 457469.

It is an arithmetic number, because the mean of its divisors is an integer number (4054211062).

Almost surely, 2^101100201200 is an apocalyptic number.

101100201200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101100201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121626331860).

101100201200 is an abundant number, since it is smaller than the sum of its proper divisors (142152462520).

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

101100201200 is a wasteful number, since it uses less digits than its factorization.

101100201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374034 (or 374023 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101100201200 its reverse (2102001101), we get a palindrome (103202202301).

The spelling of 101100201200 in words is "one hundred one billion, one hundred million, two hundred one thousand, two hundred".