10412120210202 has 96 divisors (see below), whose sum is σ = 23599840380480. Its totient is φ = 3313423088640.

The previous prime is 10412120210183. The next prime is 10412120210209. The reversal of 10412120210202 is 20201202121401.

10412120210202 is a `hidden beast` number, since 1 + 0 + 41 + 212 + 0 + 210 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10412120210209) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55147453 + ... + 55335935.

It is an arithmetic number, because the mean of its divisors is an integer number (245831670630).

Almost surely, 2^{10412120210202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10412120210202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11799920190240).

10412120210202 is an abundant number, since it is smaller than the sum of its proper divisors (13187720170278).

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

10412120210202 is a wasteful number, since it uses less digits than its factorization.

10412120210202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189708 (or 189705 counting only the distinct ones).

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

Adding to 10412120210202 its reverse (20201202121401), we get a palindrome (30613322331603).

The spelling of 10412120210202 in words is "ten trillion, four hundred twelve billion, one hundred twenty million, two hundred ten thousand, two hundred two".