10222211102100 has 36 divisors (see below), whose sum is σ = 29576264122944. Its totient is φ = 2725922960480.

The previous prime is 10222211102093. The next prime is 10222211102137. The reversal of 10222211102100 is 120111222201.

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 10222211102100.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 17037018204 + ... + 17037018803.

It is an arithmetic number, because the mean of its divisors is an integer number (821562892304).

Almost surely, 2^{10222211102100} is an apocalyptic number.

10222211102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10222211102100 is an abundant number, since it is smaller than the sum of its proper divisors (19354053020844).

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

10222211102100 is a wasteful number, since it uses less digits than its factorization.

10222211102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34074037024 (or 34074037017 counting only the distinct ones).

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

Adding to 10222211102100 its reverse (120111222201), we get a palindrome (10342322324301).

The spelling of 10222211102100 in words is "ten trillion, two hundred twenty-two billion, two hundred eleven million, one hundred two thousand, one hundred".