2101221400 has 96 divisors (see below), whose sum is σ = 5165294400. Its totient is φ = 792720000.

The previous prime is 2101221389. The next prime is 2101221413. The reversal of 2101221400 is 41221012.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 952699 + ... + 954901.

It is an arithmetic number, because the mean of its divisors is an integer number (53805150).

Almost surely, 2^2101221400 is an apocalyptic number.

2101221400 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 2101221400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2582647200).

2101221400 is an abundant number, since it is smaller than the sum of its proper divisors (3064073000).

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

2101221400 is a wasteful number, since it uses less digits than its factorization.

2101221400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2489 (or 2480 counting only the distinct ones).

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

The square root of 2101221400 is about 45839.0815789322. The cubic root of 2101221400 is about 1280.8273866150.

Adding to 2101221400 its reverse (41221012), we get a palindrome (2142442412).

The spelling of 2101221400 in words is "two billion, one hundred one million, two hundred twenty-one thousand, four hundred".