2102220021100 has 144 divisors (see below), whose sum is σ = 4760462998368. Its totient is φ = 805076213760.

The previous prime is 2102220021089. The next prime is 2102220021101. The reversal of 2102220021100 is 11200222012.

It is a happy number.

It is a super-2 number, since 2×2102220021100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2102220021101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 281908572 + ... + 281916028.

It is an arithmetic number, because the mean of its divisors is an integer number (33058770822).

Almost surely, 2^{2102220021100} is an apocalyptic number.

2102220021100 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 2102220021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2380231499184).

2102220021100 is an abundant number, since it is smaller than the sum of its proper divisors (2658242977268).

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

2102220021100 is a wasteful number, since it uses less digits than its factorization.

2102220021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8804 (or 8797 counting only the distinct ones).

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

Adding to 2102220021100 its reverse (11200222012), we get a palindrome (2113420243112).

The spelling of 2102220021100 in words is "two trillion, one hundred two billion, two hundred twenty million, twenty-one thousand, one hundred".