1001011002101 has 8 divisors (see below), whose sum is σ = 1092048511008. Its totient is φ = 909979578000.

The previous prime is 1001011002053. The next prime is 1001011002151. The reversal of 1001011002101 is 1012001101001.

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 1001011002101 - 2³⁰ = 999937260277 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001011002151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1173770 + ... + 1838411.

It is an arithmetic number, because the mean of its divisors is an integer number (136506063876).

Almost surely, 2^{1001011002101} is an apocalyptic number.

1001011002101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001011002101 is a deficient number, since it is larger than the sum of its proper divisors (91037508907).

1001011002101 is a wasteful number, since it uses less digits than its factorization.

1001011002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3042403.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1001011002101 its reverse (1012001101001), we get a palindrome (2013012103102).

The spelling of 1001011002101 in words is "one trillion, one billion, eleven million, two thousand, one hundred one".