10211122202010 has 128 divisors (see below), whose sum is σ = 26439616166400. Its totient is φ = 2517173277696.

The previous prime is 10211122202003. The next prime is 10211122202051. The reversal of 10211122202010 is 1020222111201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 2461804 + ... + 5146136.

It is an arithmetic number, because the mean of its divisors is an integer number (206559501300).

Almost surely, 2^{10211122202010} is an apocalyptic number.

10211122202010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211122202010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13219808083200).

10211122202010 is an abundant number, since it is smaller than the sum of its proper divisors (16228493964390).

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

10211122202010 is a wasteful number, since it uses less digits than its factorization.

10211122202010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2684552.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10211122202010 its reverse (1020222111201), we get a palindrome (11231344313211).

It can be divided in two parts, 10211 and 122202010, that added together give a palindrome (122212221).

The spelling of 10211122202010 in words is "ten trillion, two hundred eleven billion, one hundred twenty-two million, two hundred two thousand, ten".