2210002122100 has 72 divisors (see below), whose sum is σ = 4870969765760. Its totient is φ = 870147083520.

The previous prime is 2210002122061. The next prime is 2210002122113. The reversal of 2210002122100 is 12212000122.

It is a happy number.

It is a super-4 number, since 4×2210002122100⁴ (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

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, 8766616 + ... + 9015184.

Almost surely, 2^{2210002122100} is an apocalyptic number.

2210002122100 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 2210002122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435484882880).

2210002122100 is an abundant number, since it is smaller than the sum of its proper divisors (2660967643660).

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

2210002122100 is a wasteful number, since it uses less digits than its factorization.

2210002122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249977 (or 249970 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 2210002122100 its reverse (12212000122), we get a palindrome (2222214122222).

The spelling of 2210002122100 in words is "two trillion, two hundred ten billion, two million, one hundred twenty-two thousand, one hundred".