2122121000 has 64 divisors (see below), whose sum is σ = 5011578000. Its totient is φ = 841017600.

The previous prime is 2122120991. The next prime is 2122121003. The reversal of 2122121000 is 1212212.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 95140516 + 2026980484 = 9754^2 + 45022^2 .

It is not an unprimeable number, because it can be changed into a prime (2122121003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99266 + ... + 118734.

Almost surely, 2^2122121000 is an apocalyptic number.

2122121000 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 2122121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505789000).

2122121000 is an abundant number, since it is smaller than the sum of its proper divisors (2889457000).

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

2122121000 is a wasteful number, since it uses less digits than its factorization.

2122121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19599 (or 19585 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 2122121000 is about 46066.4845630747. The cubic root of 2122121000 is about 1285.0599274590.

Adding to 2122121000 its reverse (1212212), we get a palindrome (2123333212).

It can be divided in two parts, 212 and 2121000, that added together give a palindrome (2121212).

The spelling of 2122121000 in words is "two billion, one hundred twenty-two million, one hundred twenty-one thousand".