1001000011200 has 672 divisors, whose sum is σ = 4013632539648. Its totient is φ = 213196800000.

The previous prime is 1001000011159. The next prime is 1001000011241. The reversal of 1001000011200 is 21100001001.

It is an interprime number because it is at equal distance from previous prime (1001000011159) and next prime (1001000011241).

It is a tau number, because it is divible by the number of its divisors (672).

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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57682525 + ... + 57699875.

Almost surely, 2^{1001000011200} is an apocalyptic number.

1001000011200 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 1001000011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006816269824).

1001000011200 is an abundant number, since it is smaller than the sum of its proper divisors (3012632528448).

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

1001000011200 is a wasteful number, since it uses less digits than its factorization.

1001000011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17501 (or 17486 counting only the distinct ones).

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

Adding to 1001000011200 its reverse (21100001001), we get a palindrome (1022100012201).

The spelling of 1001000011200 in words is "one trillion, one billion, eleven thousand, two hundred".