1001101200 has 240 divisors, whose sum is σ = 3528792000. Its totient is φ = 240588800.

The previous prime is 1001101183. The next prime is 1001101217. The reversal of 1001101200 is 21011001.

It is an interprime number because it is at equal distance from previous prime (1001101183) and next prime (1001101217).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1001101200² = 2004407225282880000, which contains 22 as substring.

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1966546 + ... + 1967054.

It is an arithmetic number, because the mean of its divisors is an integer number (14703300).

Almost surely, 2^1001101200 is an apocalyptic number.

1001101200 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 1001101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1764396000).

1001101200 is an abundant number, since it is smaller than the sum of its proper divisors (2527690800).

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

1001101200 is a wasteful number, since it uses less digits than its factorization.

1001101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 679 counting only the distinct ones).

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

The square root of 1001101200 is about 31640.1833117319. The cubic root of 1001101200 is about 1000.3669320111.

Adding to 1001101200 its reverse (21011001), we get a palindrome (1022112201).

It can be divided in two parts, 1001 and 101200, that added together give a palindrome (102201).

The spelling of 1001101200 in words is "one billion, one million, one hundred one thousand, two hundred".