101200220 has 48 divisors (see below), whose sum is σ = 235672416. Its totient is φ = 36192000.

The previous prime is 101200219. The next prime is 101200223. The reversal of 101200220 is 22002101.

It is a junction number, because it is equal to n+sod(n) for n = 101200198 and 101200207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9650 + ... + 17190.

It is an arithmetic number, because the mean of its divisors is an integer number (4909842).

Almost surely, 2^101200220 is an apocalyptic number.

101200220 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 101200220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117836208).

101200220 is an abundant number, since it is smaller than the sum of its proper divisors (134472196).

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

101200220 is a wasteful number, since it uses less digits than its factorization.

101200220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622 (or 7620 counting only the distinct ones).

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

The square root of 101200220 is about 10059.8320065496. The cubic root of 101200220 is about 466.0084791571.

Adding to 101200220 its reverse (22002101), we get a palindrome (123202321).

The spelling of 101200220 in words is "one hundred one million, two hundred thousand, two hundred twenty".