10012011111200 has 72 divisors (see below), whose sum is σ = 27933511015872. Its totient is φ = 3432689521920.

The previous prime is 10012011111181. The next prime is 10012011111203. The reversal of 10012011111200 is 211111021001.

It is not an unprimeable number, because it can be changed into a prime (10012011111203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 893923964 + ... + 893935163.

It is an arithmetic number, because the mean of its divisors is an integer number (387965430776).

Almost surely, 2^{10012011111200} is an apocalyptic number.

10012011111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10012011111200 is an abundant number, since it is smaller than the sum of its proper divisors (17921499904672).

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

10012011111200 is a wasteful number, since it uses less digits than its factorization.

10012011111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1787859154 (or 1787859141 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10012011111200 its reverse (211111021001), we get a palindrome (10223122132201).

The spelling of 10012011111200 in words is "ten trillion, twelve billion, eleven million, one hundred eleven thousand, two hundred".