10121221001000 has 64 divisors (see below), whose sum is σ = 24713381422080. Its totient is φ = 3872467156800.

The previous prime is 10121221000987. The next prime is 10121221001027. The reversal of 10121221001000 is 10012212101.

It is a super-2 number, since 2×10121221001000² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220003544 + ... + 220049543.

It is an arithmetic number, because the mean of its divisors is an integer number (386146584720).

Almost surely, 2^{10121221001000} is an apocalyptic number.

10121221001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121221001000 is an abundant number, since it is smaller than the sum of its proper divisors (14592160421080).

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

10121221001000 is a wasteful number, since it uses less digits than its factorization.

10121221001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 440053131 (or 440053117 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10121221001000 its reverse (10012212101), we get a palindrome (10131233213101).

The spelling of 10121221001000 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty-one million, one thousand".