2212121102100 has 288 divisors, whose sum is σ = 7879675668480. Its totient is φ = 466599605760.

The previous prime is 2212121102063. The next prime is 2212121102123. The reversal of 2212121102100 is 12011212122.

It is a super-2 number, since 2×2212121102100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2212121102100.

It is a congruent number.

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, 116916441 + ... + 116935359.

It is an arithmetic number, because the mean of its divisors is an integer number (27359984960).

Almost surely, 2^{2212121102100} is an apocalyptic number.

2212121102100 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 2212121102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3939837834240).

2212121102100 is an abundant number, since it is smaller than the sum of its proper divisors (5667554566380).

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

2212121102100 is a wasteful number, since it uses less digits than its factorization.

2212121102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23239 (or 23232 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 2212121102100 its reverse (12011212122), we get a palindrome (2224132314222).

The spelling of 2212121102100 in words is "two trillion, two hundred twelve billion, one hundred twenty-one million, one hundred two thousand, one hundred".