10002202210000 has 400 divisors, whose sum is σ = 32514268203648. Its totient is φ = 2877753600000.

The previous prime is 10002202209991. The next prime is 10002202210031. The reversal of 10002202210000 is 1220220001.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-3 number, since 3×10002202210000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9510390 + ... + 10509610.

Almost surely, 2^{10002202210000} is an apocalyptic number.

10002202210000 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 10002202210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16257134101824).

10002202210000 is an abundant number, since it is smaller than the sum of its proper divisors (22512065993648).

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

10002202210000 is a wasteful number, since it uses less digits than its factorization.

10002202210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999280 (or 999259 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10002202210000 its reverse (1220220001), we get a palindrome (10003422430001).

The spelling of 10002202210000 in words is "ten trillion, two billion, two hundred two million, two hundred ten thousand".