10222202212100 has 18 divisors (see below), whose sum is σ = 22182178800474. Its totient is φ = 4088880884800.

The previous prime is 10222202212099. The next prime is 10222202212111. The reversal of 10222202212100 is 121220222201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 2827294279936 + 7394907932164 = 1681456^2 + 2719358^2 .

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 5 ways as a sum of consecutive naturals, for example, 51111010961 + ... + 51111011160.

It is an arithmetic number, because the mean of its divisors is an integer number (1232343266693).

Almost surely, 2^{10222202212100} is an apocalyptic number.

10222202212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222202212100 is an abundant number, since it is smaller than the sum of its proper divisors (11959976588374).

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

10222202212100 is a wasteful number, since it uses less digits than its factorization.

10222202212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102222022135 (or 102222022128 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 10222202212100 its reverse (121220222201), we get a palindrome (10343422434301).

The spelling of 10222202212100 in words is "ten trillion, two hundred twenty-two billion, two hundred two million, two hundred twelve thousand, one hundred".