1002002120001 has 6 divisors (see below), whose sum is σ = 1447336395570. Its totient is φ = 668001413328.

The previous prime is 1002002119991. The next prime is 1002002120029. The reversal of 1002002120001 is 1000212002001.

It can be written as a sum of positive squares in only one way, i.e., 860775728400 + 141226391601 = 927780^2 + 375801^2 .

It is not a de Polignac number, because 1002002120001 - 2¹⁷ = 1002001988929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 111333568889 = 1002002120001 / (1 + 0 + 0 + 2 + 0 + 0 + 2 + 1 + 2 + 0 + 0 + 0 + 1).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002002120051) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 55666784436 + ... + 55666784453.

It is an arithmetic number, because the mean of its divisors is an integer number (241222732595).

Almost surely, 2^{1002002120001} is an apocalyptic number.

It is an amenable number.

1002002120001 is a deficient number, since it is larger than the sum of its proper divisors (445334275569).

1002002120001 is a wasteful number, since it uses less digits than its factorization.

1002002120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111333568895 (or 111333568892 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 1002002120001 its reverse (1000212002001), we get a palindrome (2002214122002).

The spelling of 1002002120001 in words is "one trillion, two billion, two million, one hundred twenty thousand, one".