10002122112210 has 128 divisors (see below), whose sum is σ = 26148574483200. Its totient is φ = 2438904545280.

The previous prime is 10002122112209. The next prime is 10002122112223. The reversal of 10002122112210 is 1221122120001.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10002122112210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50168242 + ... + 50367218.

It is an arithmetic number, because the mean of its divisors is an integer number (204285738150).

Almost surely, 2^{10002122112210} is an apocalyptic number.

10002122112210 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 10002122112210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074287241600).

10002122112210 is an abundant number, since it is smaller than the sum of its proper divisors (16146452370990).

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

10002122112210 is a wasteful number, since it uses less digits than its factorization.

10002122112210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202076.

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

Adding to 10002122112210 its reverse (1221122120001), we get a palindrome (11223244232211).

The spelling of 10002122112210 in words is "ten trillion, two billion, one hundred twenty-two million, one hundred twelve thousand, two hundred ten".