2210121000 has 192 divisors, whose sum is σ = 7673262480. Its totient is φ = 573350400.

The previous prime is 2210120999. The next prime is 2210121049. The reversal of 2210121000 is 1210122.

It can be written as a sum of positive squares in 8 ways, for example, as 12574116 + 2197546884 = 3546^2 + 46878^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 329682 + ... + 336318.

Almost surely, 2^2210121000 is an apocalyptic number.

2210121000 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 2210121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3836631240).

2210121000 is an abundant number, since it is smaller than the sum of its proper divisors (5463141480).

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

2210121000 is a wasteful number, since it uses less digits than its factorization.

2210121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6701 (or 6684 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2210121000 is about 47011.9240193379. The cubic root of 2210121000 is about 1302.5828334827.

Adding to 2210121000 its reverse (1210122), we get a palindrome (2211331122).

The spelling of 2210121000 in words is "two billion, two hundred ten million, one hundred twenty-one thousand".