10001102202 has 192 divisors, whose sum is σ = 27544817664. Its totient is φ = 2552186880.

The previous prime is 10001102171. The next prime is 10001102207. The reversal of 10001102202 is 20220110001.

10001102202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10001102207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9200103 + ... + 9201189.

It is an arithmetic number, because the mean of its divisors is an integer number (143462592).

Almost surely, 2^10001102202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001102202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13772408832).

10001102202 is an abundant number, since it is smaller than the sum of its proper divisors (17543715462).

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

10001102202 is a wasteful number, since it uses less digits than its factorization.

10001102202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10001102202 its reverse (20220110001), we get a palindrome (30221212203).

The spelling of 10001102202 in words is "ten billion, one million, one hundred two thousand, two hundred two".