1002121001113 has 8 divisors (see below), whose sum is σ = 1024239444480. Its totient is φ = 980186113680.

The previous prime is 1002121001053. The next prime is 1002121001129. The reversal of 1002121001113 is 3111001212001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002121001113 - 2²⁹ = 1001584130201 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1002121001093 and 1002121001102.

It is not an unprimeable number, because it can be changed into a prime (1002121031113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45877945 + ... + 45899782.

It is an arithmetic number, because the mean of its divisors is an integer number (128029930560).

Almost surely, 2^{1002121001113} is an apocalyptic number.

It is an amenable number.

1002121001113 is a deficient number, since it is larger than the sum of its proper divisors (22118443367).

1002121001113 is an equidigital number, since it uses as much as digits as its factorization.

1002121001113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91777967.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 1002121001113 its reverse (3111001212001), we get a palindrome (4113122213114).

The spelling of 1002121001113 in words is "one trillion, two billion, one hundred twenty-one million, one thousand, one hundred thirteen".