2001011000121 has 32 divisors (see below), whose sum is σ = 3388718407680. Its totient is φ = 1143177252048.

The previous prime is 2001011000119. The next prime is 2001011000167. The reversal of 2001011000121 is 1210001101002.

It is a happy number.

It is not a de Polignac number, because 2001011000121 - 2¹ = 2001011000119 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2001011000101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349911 + ... + 2030876.

It is an arithmetic number, because the mean of its divisors is an integer number (105897450240).

Almost surely, 2^{2001011000121} is an apocalyptic number.

2001011000121 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2001011000121 is a deficient number, since it is larger than the sum of its proper divisors (1387707407559).

2001011000121 is a wasteful number, since it uses less digits than its factorization.

2001011000121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385250 (or 2385244 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2001011000121 its reverse (1210001101002), we get a palindrome (3211012101123).

The spelling of 2001011000121 in words is "two trillion, one billion, eleven million, one hundred twenty-one", and thus it is an aban number.