10212220032 has 128 divisors (see below), whose sum is σ = 31394457600. Its totient is φ = 2880783360.

The previous prime is 10212220009. The next prime is 10212220033. The reversal of 10212220032 is 23002221201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 10212219993 and 10212220020.

It is not an unprimeable number, because it can be changed into a prime (10212220033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188307 + ... + 236397.

It is an arithmetic number, because the mean of its divisors is an integer number (245269200).

Almost surely, 2^10212220032 is an apocalyptic number.

10212220032 is a gapful number since it is divisible by the number (12) 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 10212220032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15697228800).

10212220032 is an abundant number, since it is smaller than the sum of its proper divisors (21182237568).

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

10212220032 is an equidigital number, since it uses as much as digits as its factorization.

10212220032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48194 (or 48182 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 10212220032 its reverse (23002221201), we get a palindrome (33214441233).

The spelling of 10212220032 in words is "ten billion, two hundred twelve million, two hundred twenty thousand, thirty-two".