10022121121000 has 64 divisors (see below), whose sum is σ = 24686066808000. Its totient is φ = 3797856417600.

The previous prime is 10022121120953. The next prime is 10022121121021. The reversal of 10022121121000 is 12112122001.

It is a super-3 number, since 3×10022121121000³ (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263721030 + ... + 263759029.

It is an arithmetic number, because the mean of its divisors is an integer number (385719793875).

Almost surely, 2^{10022121121000} is an apocalyptic number.

10022121121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022121121000 is an abundant number, since it is smaller than the sum of its proper divisors (14663945687000).

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

10022121121000 is a wasteful number, since it uses less digits than its factorization.

10022121121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527480099 (or 527480085 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10022121121000 its reverse (12112122001), we get a palindrome (10034233243001).

It can be divided in two parts, 1002212 and 1121000, that added together give a palindrome (2123212).

The spelling of 10022121121000 in words is "ten trillion, twenty-two billion, one hundred twenty-one million, one hundred twenty-one thousand".