101200310200 has 144 divisors (see below), whose sum is σ = 258959363040. Its totient is φ = 36752601600.

The previous prime is 101200310173. The next prime is 101200310221. The reversal of 101200310200 is 2013002101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 22673169 + ... + 22677631.

It is an arithmetic number, because the mean of its divisors is an integer number (1798328910).

Almost surely, 2^101200310200 is an apocalyptic number.

101200310200 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 101200310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129479681520).

101200310200 is an abundant number, since it is smaller than the sum of its proper divisors (157759052840).

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

101200310200 is a wasteful number, since it uses less digits than its factorization.

101200310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5438 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101200310200 its reverse (2013002101), we get a palindrome (103213312301).

The spelling of 101200310200 in words is "one hundred one billion, two hundred million, three hundred ten thousand, two hundred".