10412202120210 has 96 divisors (see below), whose sum is σ = 29748359676672. Its totient is φ = 2505745578240.

The previous prime is 10412202120197. The next prime is 10412202120211. The reversal of 10412202120210 is 1202120221401.

10412202120210 is a `hidden beast` number, since 1 + 0 + 412 + 2 + 0 + 21 + 20 + 210 = 666.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10412202120211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38248954 + ... + 38520213.

It is an arithmetic number, because the mean of its divisors is an integer number (309878746632).

Almost surely, 2^{10412202120210} is an apocalyptic number.

10412202120210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10412202120210 is an abundant number, since it is smaller than the sum of its proper divisors (19336157556462).

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

10412202120210 is a wasteful number, since it uses less digits than its factorization.

10412202120210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76769328 (or 76769325 counting only the distinct ones).

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

Adding to 10412202120210 its reverse (1202120221401), we get a palindrome (11614322341611).

The spelling of 10412202120210 in words is "ten trillion, four hundred twelve billion, two hundred two million, one hundred twenty thousand, two hundred ten".