10010002200000 has 1344 divisors, whose sum is σ = 37459427443200. Its totient is φ = 2337638400000.

The previous prime is 10010002199929. The next prime is 10010002200001. The reversal of 10010002200000 is 220001001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010002200001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43711799886 + ... + 43711800114.

It is an arithmetic number, because the mean of its divisors is an integer number (27871597800).

Almost surely, 2^{10010002200000} is an apocalyptic number.

10010002200000 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 10010002200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18729713721600).

10010002200000 is an abundant number, since it is smaller than the sum of its proper divisors (27449425243200).

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

10010002200000 is a wasteful number, since it uses less digits than its factorization.

10010002200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10010002200000 its reverse (220001001), we get a palindrome (10010222201001).

The spelling of 10010002200000 in words is "ten trillion, ten billion, two million, two hundred thousand".