1001011111200 has 288 divisors, whose sum is σ = 3623216224320. Its totient is φ = 266723020800.

The previous prime is 1001011111171. The next prime is 1001011111223. The reversal of 1001011111200 is 21111101001.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27997335 + ... + 28033065.

It is an arithmetic number, because the mean of its divisors is an integer number (12580611890).

Almost surely, 2^{1001011111200} is an apocalyptic number.

1001011111200 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 1001011111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811608112160).

1001011111200 is an abundant number, since it is smaller than the sum of its proper divisors (2622205113120).

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

1001011111200 is a wasteful number, since it uses less digits than its factorization.

1001011111200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37057 (or 37038 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001011111200 its reverse (21111101001), we get a palindrome (1022122212201).

The spelling of 1001011111200 in words is "one trillion, one billion, eleven million, one hundred eleven thousand, two hundred".