2200002212100 has 288 divisors, whose sum is σ = 8085748478976. Its totient is φ = 448517721600.

The previous prime is 2200002212087. The next prime is 2200002212113. The reversal of 2200002212100 is 12122000022.

It is an interprime number because it is at equal distance from previous prime (2200002212087) and next prime (2200002212113).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 325827 + ... + 2122773.

It is an arithmetic number, because the mean of its divisors is an integer number (28075515552).

Almost surely, 2^{2200002212100} is an apocalyptic number.

2200002212100 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 2200002212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4042874239488).

2200002212100 is an abundant number, since it is smaller than the sum of its proper divisors (5885746266876).

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

2200002212100 is a wasteful number, since it uses less digits than its factorization.

2200002212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797035 (or 1797028 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2200002212100 its reverse (12122000022), we get a palindrome (2212124212122).

The spelling of 2200002212100 in words is "two trillion, two hundred billion, two million, two hundred twelve thousand, one hundred".