101211200 has 126 divisors (see below), whose sum is σ = 268086078. Its totient is φ = 37478400.

The previous prime is 101211179. The next prime is 101211203. The reversal of 101211200 is 2112101.

It can be written as a sum of positive squares in 9 ways, for example, as 70829056 + 30382144 = 8416^2 + 5512^2 .

It is a super-3 number, since 3×101211200³ (a number of 25 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101211203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1659170 + ... + 1659230.

Almost surely, 2^101211200 is an apocalyptic number.

101211200 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 101211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134043039).

101211200 is an abundant number, since it is smaller than the sum of its proper divisors (166874878).

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

101211200 is an equidigital number, since it uses as much as digits as its factorization.

101211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 85 counting only the distinct ones).

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

The square root of 101211200 is about 10060.3777265071. The cubic root of 101211200 is about 466.0253321773.

Adding to 101211200 its reverse (2112101), we get a palindrome (103323301).

Subtracting from 101211200 its reverse (2112101), we obtain a palindrome (99099099).

The spelling of 101211200 in words is "one hundred one million, two hundred eleven thousand, two hundred".