2202200122100 has 288 divisors, whose sum is σ = 5460663745152. Its totient is φ = 763776000000.

The previous prime is 2202200122099. The next prime is 2202200122117. The reversal of 2202200122100 is 12210022022.

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 95 ways as a sum of consecutive naturals, for example, 733820600 + ... + 733823600.

It is an arithmetic number, because the mean of its divisors is an integer number (18960638004).

Almost surely, 2^{2202200122100} is an apocalyptic number.

2202200122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2202200122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730331872576).

2202200122100 is an abundant number, since it is smaller than the sum of its proper divisors (3258463623052).

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

2202200122100 is a wasteful number, since it uses less digits than its factorization.

2202200122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3427 (or 3420 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 2202200122100 its reverse (12210022022), we get a palindrome (2214410144122).

The spelling of 2202200122100 in words is "two trillion, two hundred two billion, two hundred million, one hundred twenty-two thousand, one hundred".