1012000101001 has 8 divisors (see below), whose sum is σ = 1013739527808. Its totient is φ = 1010260860000.

The previous prime is 1012000100989. The next prime is 1012000101017. The reversal of 1012000101001 is 1001010002101.

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 1012000101001 - 2¹³ = 1012000092809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012000101601) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15009996 + ... + 15077266.

It is an arithmetic number, because the mean of its divisors is an integer number (126717440976).

Almost surely, 2^{1012000101001} is an apocalyptic number.

It is an amenable number.

1012000101001 is a deficient number, since it is larger than the sum of its proper divisors (1739426807).

1012000101001 is an equidigital number, since it uses as much as digits as its factorization.

1012000101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92903.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1012000101001 its reverse (1001010002101), we get a palindrome (2013010103102).

The spelling of 1012000101001 in words is "one trillion, twelve billion, one hundred one thousand, one".