1010011111200 has 1728 divisors, whose sum is σ = 4582421206272. Its totient is φ = 203644108800.

The previous prime is 1010011111177. The next prime is 1010011111229. The reversal of 1010011111200 is 21111100101.

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

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 polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1478786059 + ... + 1478786741.

It is an arithmetic number, because the mean of its divisors is an integer number (2651864124).

Almost surely, 2^{1010011111200} is an apocalyptic number.

1010011111200 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 1010011111200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291210603136).

1010011111200 is an abundant number, since it is smaller than the sum of its proper divisors (3572410095072).

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

1010011111200 is a wasteful number, since it uses less digits than its factorization.

1010011111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 811 counting only the distinct ones).

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

Adding to 1010011111200 its reverse (21111100101), we get a palindrome (1031122211301).

It can be divided in two parts, 1010011 and 111200, that added together give a palindrome (1121211).

The spelling of 1010011111200 in words is "one trillion, ten billion, eleven million, one hundred eleven thousand, two hundred".