10100022200000 has 336 divisors, whose sum is σ = 26531332386048. Its totient is φ = 3806563200000.

The previous prime is 10100022199961. The next prime is 10100022200071. The reversal of 10100022200000 is 222000101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 308183615 + ... + 308216385.

It is an arithmetic number, because the mean of its divisors is an integer number (78962298768).

Almost surely, 2^{10100022200000} is an apocalyptic number.

10100022200000 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 10100022200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13265666193024).

10100022200000 is an abundant number, since it is smaller than the sum of its proper divisors (16431310186048).

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

10100022200000 is an frugal number, since it uses more digits than its factorization.

10100022200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32898 (or 32868 counting only the distinct ones).

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

Adding to 10100022200000 its reverse (222000101), we get a palindrome (10100244200101).

The spelling of 10100022200000 in words is "ten trillion, one hundred billion, twenty-two million, two hundred thousand".