10212420000 has 120 divisors (see below), whose sum is σ = 33498976896. Its totient is φ = 2723296000.

The previous prime is 10212419999. The next prime is 10212420017. The reversal of 10212420000 is 2421201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25104 + ... + 145103.

Almost surely, 2^10212420000 is an apocalyptic number.

10212420000 is a gapful number since it is divisible by the number (10) 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 10212420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16749488448).

10212420000 is an abundant number, since it is smaller than the sum of its proper divisors (23286556896).

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

10212420000 is an equidigital number, since it uses as much as digits as its factorization.

10212420000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170240 (or 170217 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10212420000 its reverse (2421201), we get a palindrome (10214841201).

The spelling of 10212420000 in words is "ten billion, two hundred twelve million, four hundred twenty thousand".