10222111220100 has 72 divisors (see below), whose sum is σ = 31851050152320. Its totient is φ = 2516211991680.

The previous prime is 10222111220077. The next prime is 10222111220107. The reversal of 10222111220100 is 102211122201.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10222111220100.

It is not an unprimeable number, because it can be changed into a prime (10222111220107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1310523180 + ... + 1310530979.

It is an arithmetic number, because the mean of its divisors is an integer number (442375696560).

Almost surely, 2^{10222111220100} is an apocalyptic number.

10222111220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222111220100 is an abundant number, since it is smaller than the sum of its proper divisors (21628938932220).

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

10222111220100 is a wasteful number, since it uses less digits than its factorization.

10222111220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2621054189 (or 2621054182 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10222111220100 its reverse (102211122201), we get a palindrome (10324322342301).

The spelling of 10222111220100 in words is "ten trillion, two hundred twenty-two billion, one hundred eleven million, two hundred twenty thousand, one hundred".