1002001120101 has 6 divisors (see below), whose sum is σ = 1447334951270. Its totient is φ = 668000746728.

The previous prime is 1002001120091. The next prime is 1002001120111. The reversal of 1002001120101 is 1010211002001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002001120091) and next prime (1002001120111).

It can be written as a sum of positive squares in only one way, i.e., 728247183876 + 273753936225 = 853374^2 + 523215^2 .

It is not a de Polignac number, because 1002001120101 - 2¹⁵ = 1002001087333 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: 111333457789 = 1002001120101 / (1 + 0 + 0 + 2 + 0 + 0 + 1 + 1 + 2 + 0 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002001120111) 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, 55666728886 + ... + 55666728903.

Almost surely, 2^{1002001120101} is an apocalyptic number.

It is an amenable number.

1002001120101 is a deficient number, since it is larger than the sum of its proper divisors (445333831169).

1002001120101 is a wasteful number, since it uses less digits than its factorization.

1002001120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111333457795 (or 111333457792 counting only the distinct ones).

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

Adding to 1002001120101 its reverse (1010211002001), we get a palindrome (2012212122102).

The spelling of 1002001120101 in words is "one trillion, two billion, one million, one hundred twenty thousand, one hundred one".