2100222222100 has 36 divisors (see below), whose sum is σ = 4557548700124. Its totient is φ = 840076634880.

The previous prime is 2100222222061. The next prime is 2100222222103. The reversal of 2100222222100 is 12222220012.

It can be written as a sum of positive squares in 6 ways, for example, as 552676270084 + 1547545952016 = 743422^2 + 1244004^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100222222103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10255912 + ... + 10458688.

Almost surely, 2^{2100222222100} is an apocalyptic number.

2100222222100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2100222222100 is an abundant number, since it is smaller than the sum of its proper divisors (2457326478024).

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

2100222222100 is a wasteful number, since it uses less digits than its factorization.

2100222222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306364 (or 306357 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 2100222222100 its reverse (12222220012), we get a palindrome (2112444442112).

The spelling of 2100222222100 in words is "two trillion, one hundred billion, two hundred twenty-two million, two hundred twenty-two thousand, one hundred".