10002201121110 has 512 divisors, whose sum is σ = 29133490434048. Its totient is φ = 2169655787520.

The previous prime is 10002201121061. The next prime is 10002201121151. The reversal of 10002201121110 is 1112110220001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2893316502 + ... + 2893319958.

It is an arithmetic number, because the mean of its divisors is an integer number (56901348504).

Almost surely, 2^{10002201121110} is an apocalyptic number.

10002201121110 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 10002201121110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14566745217024).

10002201121110 is an abundant number, since it is smaller than the sum of its proper divisors (19131289312938).

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

10002201121110 is a wasteful number, since it uses less digits than its factorization.

10002201121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3848.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10002201121110 its reverse (1112110220001), we get a palindrome (11114311341111).

The spelling of 10002201121110 in words is "ten trillion, two billion, two hundred one million, one hundred twenty-one thousand, one hundred ten".