2211212103100 has 576 divisors, whose sum is σ = 6535201720320. Its totient is φ = 627108249600.

The previous prime is 2211212103047. The next prime is 2211212103131. The reversal of 2211212103100 is 13012121122.

It is a super-2 number, since 2×2211212103100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2635532481 + ... + 2635533319.

It is an arithmetic number, because the mean of its divisors is an integer number (11345836320).

Almost surely, 2^{2211212103100} is an apocalyptic number.

2211212103100 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 2211212103100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3267600860160).

2211212103100 is an abundant number, since it is smaller than the sum of its proper divisors (4323989617220).

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

2211212103100 is a wasteful number, since it uses less digits than its factorization.

2211212103100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 2211212103100 its reverse (13012121122), we get a palindrome (2224224224222).

The spelling of 2211212103100 in words is "two trillion, two hundred eleven billion, two hundred twelve million, one hundred three thousand, one hundred".