2010001121001 has 32 divisors (see below), whose sum is σ = 3107824830720. Its totient is φ = 1281501948672.

The previous prime is 2010001120943. The next prime is 2010001121021. The reversal of 2010001121001 is 1001211000102.

It is a happy number.

It is not a de Polignac number, because 2010001121001 - 2¹⁵ = 2010001088233 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (2010001121021) 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, 3078721 + ... + 3674033.

It is an arithmetic number, because the mean of its divisors is an integer number (97119525960).

Almost surely, 2^{2010001121001} is an apocalyptic number.

It is an amenable number.

2010001121001 is a deficient number, since it is larger than the sum of its proper divisors (1097823709719).

2010001121001 is a wasteful number, since it uses less digits than its factorization.

2010001121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600782 (or 600776 counting only the distinct ones).

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

Adding to 2010001121001 its reverse (1001211000102), we get a palindrome (3011212121103).

The spelling of 2010001121001 in words is "two trillion, ten billion, one million, one hundred twenty-one thousand, one".