10002102220110 has 512 divisors, whose sum is σ = 34540936593408. Its totient is φ = 1785471621120.

The previous prime is 10002102220109. The next prime is 10002102220111. The reversal of 10002102220110 is 1102220120001.

It is an interprime number because it is at equal distance from previous prime (10002102220109) and next prime (10002102220111).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10002102220111) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 25359837 + ... + 25751223.

It is an arithmetic number, because the mean of its divisors is an integer number (67462766784).

Almost surely, 2^{10002102220110} is an apocalyptic number.

10002102220110 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 10002102220110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17270468296704).

10002102220110 is an abundant number, since it is smaller than the sum of its proper divisors (24538834373298).

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

10002102220110 is a wasteful number, since it uses less digits than its factorization.

10002102220110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391488.

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

Adding to 10002102220110 its reverse (1102220120001), we get a palindrome (11104322340111).

The spelling of 10002102220110 in words is "ten trillion, two billion, one hundred two million, two hundred twenty thousand, one hundred ten".