10022121000 has 96 divisors (see below), whose sum is σ = 33874799400. Its totient is φ = 2672563200.

The previous prime is 10022120987. The next prime is 10022121029. The reversal of 10022121000 is 12122001.

10022121000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3576279204 + 6445841796 = 59802^2 + 80286^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547785 + ... + 565784.

Almost surely, 2^10022121000 is an apocalyptic number.

10022121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022121000 is an abundant number, since it is smaller than the sum of its proper divisors (23852678400).

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

10022121000 is a wasteful number, since it uses less digits than its factorization.

10022121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1113596 (or 1113579 counting only the distinct ones).

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

Adding to 10022121000 its reverse (12122001), we get a palindrome (10034243001).

The spelling of 10022121000 in words is "ten billion, twenty-two million, one hundred twenty-one thousand".