1001012002101 has 12 divisors (see below), whose sum is σ = 1454776817728. Its totient is φ = 663247215144.

The previous prime is 1001012002097. The next prime is 1001012002127. The reversal of 1001012002101 is 1012002101001.

It is a happy number.

It is not a de Polignac number, because 1001012002101 - 2² = 1001012002097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001012002171) 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 11 ways as a sum of consecutive naturals, for example, 341175085 + ... + 341178018.

Almost surely, 2^{1001012002101} is an apocalyptic number.

It is an amenable number.

1001012002101 is a deficient number, since it is larger than the sum of its proper divisors (453764815627).

1001012002101 is a wasteful number, since it uses less digits than its factorization.

1001012002101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682353272 (or 682353269 counting only the distinct ones).

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

Adding to 1001012002101 its reverse (1012002101001), we get a palindrome (2013014103102).

The spelling of 1001012002101 in words is "one trillion, one billion, twelve million, two thousand, one hundred one".