10121120201000 has 128 divisors (see below), whose sum is σ = 24191765544960. Its totient is φ = 3961583296000.

The previous prime is 10121120200951. The next prime is 10121120201083. The reversal of 10121120201000 is 10202112101.

It is a super-3 number, since 3×10121120201000³ (a number of 40 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 306470489 + ... + 306503511.

It is an arithmetic number, because the mean of its divisors is an integer number (188998168320).

Almost surely, 2^{10121120201000} is an apocalyptic number.

10121120201000 is a gapful number since it is divisible by the number (10) 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 10121120201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12095882772480).

10121120201000 is an abundant number, since it is smaller than the sum of its proper divisors (14070645343960).

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

10121120201000 is a wasteful number, since it uses less digits than its factorization.

10121120201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39612 (or 39598 counting only the distinct ones).

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

Adding to 10121120201000 its reverse (10202112101), we get a palindrome (10131322313101).

The spelling of 10121120201000 in words is "ten trillion, one hundred twenty-one billion, one hundred twenty million, two hundred one thousand".