10002120011200 has 84 divisors (see below), whose sum is σ = 24855144840792. Its totient is φ = 3961235584000.

The previous prime is 10002120011183. The next prime is 10002120011201. The reversal of 10002120011200 is 211002120001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002120011201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30785554 + ... + 31108753.

It is an arithmetic number, because the mean of its divisors is an integer number (295894581438).

Almost surely, 2^{10002120011200} is an apocalyptic number.

10002120011200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10002120011200 is an abundant number, since it is smaller than the sum of its proper divisors (14853024829592).

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

10002120011200 is a wasteful number, since it uses less digits than its factorization.

10002120011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61894430 (or 61894415 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10002120011200 its reverse (211002120001), we get a palindrome (10213122131201).

The spelling of 10002120011200 in words is "ten trillion, two billion, one hundred twenty million, eleven thousand, two hundred".