10202112102210 has 128 divisors (see below), whose sum is σ = 28231657574400. Its totient is φ = 2311265074944.

The previous prime is 10202112102209. The next prime is 10202112102211. The reversal of 10202112102210 is 1220121120201.

It is an interprime number because it is at equal distance from previous prime (10202112102209) and next prime (10202112102211).

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

It is a self number, because there is not a number n which added to its sum of digits gives 10202112102210.

It is not an unprimeable number, because it can be changed into a prime (10202112102211) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11750116 + ... + 12588464.

It is an arithmetic number, because the mean of its divisors is an integer number (220559824800).

Almost surely, 2^{10202112102210} is an apocalyptic number.

10202112102210 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 10202112102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14115828787200).

10202112102210 is an abundant number, since it is smaller than the sum of its proper divisors (18029545472190).

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

10202112102210 is a wasteful number, since it uses less digits than its factorization.

10202112102210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838880.

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

Adding to 10202112102210 its reverse (1220121120201), we get a palindrome (11422233222411).

The spelling of 10202112102210 in words is "ten trillion, two hundred two billion, one hundred twelve million, one hundred two thousand, two hundred ten".