1010011200 has 504 divisors, whose sum is σ = 3820338816. Its totient is φ = 233164800.

The previous prime is 1010011183. The next prime is 1010011207. The reversal of 1010011200 is 21100101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (1010011207) 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, 21489577 + ... + 21489623.

Almost surely, 2^1010011200 is an apocalyptic number.

1010011200 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 1010011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1910169408).

1010011200 is an abundant number, since it is smaller than the sum of its proper divisors (2810327616).

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

1010011200 is a wasteful number, since it uses less digits than its factorization.

1010011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 1010011200 is about 31780.6733723501. The cubic root of 1010011200 is about 1003.3259921784.

Adding to 1010011200 its reverse (21100101), we get a palindrome (1031111301).

It can be divided in two parts, 101001 and 1200, that added together give a palindrome (102201).

The spelling of 1010011200 in words is "one billion, ten million, eleven thousand, two hundred".