10001002102200 has 144 divisors (see below), whose sum is σ = 33595511859000. Its totient is φ = 2666234092800.

The previous prime is 10001002102159. The next prime is 10001002102207. The reversal of 10001002102200 is 220120010001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001002102207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6150751 + ... + 7604849.

Almost surely, 2^{10001002102200} is an apocalyptic number.

10001002102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10001002102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16797755929500).

10001002102200 is an abundant number, since it is smaller than the sum of its proper divisors (23594509756800).

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

10001002102200 is a wasteful number, since it uses less digits than its factorization.

10001002102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457942 (or 1457930 counting only the distinct ones).

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

Adding to 10001002102200 its reverse (220120010001), we get a palindrome (10221122112201).

The spelling of 10001002102200 in words is "ten trillion, one billion, two million, one hundred two thousand, two hundred".