10222110100000 has 72 divisors (see below), whose sum is σ = 25154364337956. Its totient is φ = 4088844000000.

The previous prime is 10222110099983. The next prime is 10222110100031. The reversal of 10222110100000 is 101122201.

It can be written as a sum of positive squares in 6 ways, for example, as 1560790467856 + 8661319632144 = 1249316^2 + 2943012^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 10222110100000.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 51010551 + ... + 51210550.

Almost surely, 2^{10222110100000} is an apocalyptic number.

10222110100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222110100000 is an abundant number, since it is smaller than the sum of its proper divisors (14932254237956).

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

10222110100000 is an frugal number, since it uses more digits than its factorization.

10222110100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102221136 (or 102221108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10222110100000 its reverse (101122201), we get a palindrome (10222211222201).

The spelling of 10222110100000 in words is "ten trillion, two hundred twenty-two billion, one hundred ten million, one hundred thousand".