1001012101001 has 24 divisors (see below), whose sum is σ = 1113161277312. Its totient is φ = 899394452000.

The previous prime is 1001012100989. The next prime is 1001012101079.

It is a happy number.

1001012101001 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-1001012101001 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1001012101001.

It is not an unprimeable number, because it can be changed into a prime (1001012101801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6807680 + ... + 6953166.

It is an arithmetic number, because the mean of its divisors is an integer number (46381719888).

Almost surely, 2^{1001012101001} is an apocalyptic number.

1001012101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1001012101001 is a deficient number, since it is larger than the sum of its proper divisors (112149176311).

1001012101001 is a wasteful number, since it uses less digits than its factorization.

1001012101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146173 (or 146162 counting only the distinct ones).

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

The spelling of 1001012101001 in words is "one trillion, one billion, twelve million, one hundred one thousand, one".