10213052166120 has 64 divisors (see below), whose sum is σ = 31386453013440. Its totient is φ = 2657054220800.

The previous prime is 10213052166103. The next prime is 10213052166127. The reversal of 10213052166120 is 2166125031201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (10213052166127) 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 15 ways as a sum of consecutive naturals, for example, 1037906886 + ... + 1037916725.

It is an arithmetic number, because the mean of its divisors is an integer number (490413328335).

Almost surely, 2^{10213052166120} is an apocalyptic number.

10213052166120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10213052166120 is an abundant number, since it is smaller than the sum of its proper divisors (21173400847320).

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

10213052166120 is a wasteful number, since it uses less digits than its factorization.

10213052166120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2075823666 (or 2075823662 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

Adding to 10213052166120 its reverse (2166125031201), we get a palindrome (12379177197321).

The spelling of 10213052166120 in words is "ten trillion, two hundred thirteen billion, fifty-two million, one hundred sixty-six thousand, one hundred twenty".