101041200 has 360 divisors, whose sum is σ = 402974208. Its totient is φ = 23224320.

The previous prime is 101041189. The next prime is 101041201. The reversal of 101041200 is 2140101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101041201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795537 + ... + 795663.

Almost surely, 2^101041200 is an apocalyptic number.

101041200 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 101041200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201487104).

101041200 is an abundant number, since it is smaller than the sum of its proper divisors (301933008).

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

101041200 is a wasteful number, since it uses less digits than its factorization.

101041200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 101041200 is about 10051.9251887387. The cubic root of 101041200 is about 465.7642652056.

Adding to 101041200 its reverse (2140101), we get a palindrome (103181301).

The spelling of 101041200 in words is "one hundred one million, forty-one thousand, two hundred".