10011202111200 has 72 divisors (see below), whose sum is σ = 32586462879768. Its totient is φ = 2669653895680.

The previous prime is 10011202111193. The next prime is 10011202111201. The reversal of 10011202111200 is 211120211001.

It is a super-2 number, since 2×10011202111200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011202111201) 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, 2085664707 + ... + 2085669506.

It is an arithmetic number, because the mean of its divisors is an integer number (452589762219).

Almost surely, 2^{10011202111200} is an apocalyptic number.

10011202111200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011202111200 is an abundant number, since it is smaller than the sum of its proper divisors (22575260768568).

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

10011202111200 is a wasteful number, since it uses less digits than its factorization.

10011202111200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4171334236 (or 4171334223 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10011202111200 its reverse (211120211001), we get a palindrome (10222322322201).

The spelling of 10011202111200 in words is "ten trillion, eleven billion, two hundred two million, one hundred eleven thousand, two hundred".