2001010121000 has 128 divisors (see below), whose sum is σ = 5284173024000. Its totient is φ = 702548896000.

The previous prime is 2001010120997. The next prime is 2001010121003. The reversal of 2001010121000 is 1210101002.

It is an interprime number because it is at equal distance from previous prime (2001010120997) and next prime (2001010121003).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (2001010121003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2817380 + ... + 3455379.

It is an arithmetic number, because the mean of its divisors is an integer number (41282601750).

Almost surely, 2^{2001010121000} is an apocalyptic number.

2001010121000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2001010121000 is an abundant number, since it is smaller than the sum of its proper divisors (3283162903000).

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

2001010121000 is a wasteful number, since it uses less digits than its factorization.

2001010121000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6272820 (or 6272806 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 2001010121000 its reverse (1210101002), we get a palindrome (2002220222002).

The spelling of 2001010121000 in words is "two trillion, one billion, ten million, one hundred twenty-one thousand".