1001021002113 has 32 divisors (see below), whose sum is σ = 1492214169600. Its totient is φ = 591616195200.

The previous prime is 1001021002109. The next prime is 1001021002129. The reversal of 1001021002113 is 3112001201001.

It is not a de Polignac number, because 1001021002113 - 2² = 1001021002109 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1001021002133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2864148 + ... + 3194586.

It is an arithmetic number, because the mean of its divisors is an integer number (46631692800).

Almost surely, 2^{1001021002113} is an apocalyptic number.

It is an amenable number.

1001021002113 is a deficient number, since it is larger than the sum of its proper divisors (491193167487).

1001021002113 is a wasteful number, since it uses less digits than its factorization.

1001021002113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332733.

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

Adding to 1001021002113 its reverse (3112001201001), we get a palindrome (4113022203114).

The spelling of 1001021002113 in words is "one trillion, one billion, twenty-one million, two thousand, one hundred thirteen".