101001011200 has 84 divisors (see below), whose sum is σ = 250467727410. Its totient is φ = 40400322560.

The previous prime is 101001011191. The next prime is 101001011203. The reversal of 101001011200 is 2110100101.

It can be written as a sum of positive squares in 3 ways, for example, as 38028120064 + 62972891136 = 195008^2 + 250944^2 .

It is not an unprimeable number, because it can be changed into a prime (101001011203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41785 + ... + 451384.

Almost surely, 2^101001011200 is an apocalyptic number.

101001011200 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 101001011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125233863705).

101001011200 is an abundant number, since it is smaller than the sum of its proper divisors (149466716210).

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

101001011200 is an frugal number, since it uses more digits than its factorization.

101001011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493205 (or 493176 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101001011200 its reverse (2110100101), we get a palindrome (103111111301).

The spelling of 101001011200 in words is "one hundred one billion, one million, eleven thousand, two hundred".