10202112012204 has 576 divisors, whose sum is σ = 32979900280320. Its totient is φ = 2709802045440.

The previous prime is 10202112012163. The next prime is 10202112012307. The reversal of 10202112012204 is 40221021120201.

10202112012204 is a `hidden beast` number, since 10 + 20 + 211 + 201 + 220 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2600587387 + ... + 2600591309.

It is an arithmetic number, because the mean of its divisors is an integer number (57256771320).

Almost surely, 2^{10202112012204} is an apocalyptic number.

10202112012204 is a gapful number since it is divisible by the number (14) 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 10202112012204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16489950140160).

10202112012204 is an abundant number, since it is smaller than the sum of its proper divisors (22777788268116).

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

10202112012204 is a wasteful number, since it uses less digits than its factorization.

10202112012204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4315 (or 4300 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202112012204 its reverse (40221021120201), we get a palindrome (50423133132405).

The spelling of 10202112012204 in words is "ten trillion, two hundred two billion, one hundred twelve million, twelve thousand, two hundred four".