212202110010 has 128 divisors (see below), whose sum is σ = 557788032000. Its totient is φ = 51239301120.

The previous prime is 212202109961. The next prime is 212202110051. The reversal of 212202110010 is 10011202212.

212202110010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×212202110010² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 134389401 + ... + 134390979.

It is an arithmetic number, because the mean of its divisors is an integer number (4357719000).

Almost surely, 2^212202110010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212202110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278894016000).

212202110010 is an abundant number, since it is smaller than the sum of its proper divisors (345585921990).

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

212202110010 is a wasteful number, since it uses less digits than its factorization.

212202110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 212202110010 its reverse (10011202212), we get a palindrome (222213312222).

The spelling of 212202110010 in words is "two hundred twelve billion, two hundred two million, one hundred ten thousand, ten".