1002001121001 has 12 divisors (see below), whose sum is σ = 1448463055728. Its totient is φ = 667480084344.

The previous prime is 1002001120999. The next prime is 1002001121003. The reversal of 1002001121001 is 1001211002001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002001120999) and next prime (1002001121003).

It is not a de Polignac number, because 1002001121001 - 2¹ = 1002001120999 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 (1002001121003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43376395 + ... + 43399488.

It is an arithmetic number, because the mean of its divisors is an integer number (120705254644).

Almost surely, 2^{1002001121001} is an apocalyptic number.

It is an amenable number.

1002001121001 is a deficient number, since it is larger than the sum of its proper divisors (446461934727).

1002001121001 is a wasteful number, since it uses less digits than its factorization.

1002001121001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86777172 (or 86777169 counting only the distinct ones).

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

Adding to 1002001121001 its reverse (1001211002001), we get a palindrome (2003212123002).

The spelling of 1002001121001 in words is "one trillion, two billion, one million, one hundred twenty-one thousand, one".