1012101012001 has 8 divisors (see below), whose sum is σ = 1029064046400. Its totient is φ = 995213202480.

The previous prime is 1012101011983. The next prime is 1012101012029. The reversal of 1012101012001 is 1002101012101.

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 1012101012001 - 2¹⁵ = 1012100979233 is a prime.

It is a super-3 number, since 3×1012101012001³ (a number of 37 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1012101012031) 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, 18779086 + ... + 18832903.

It is an arithmetic number, because the mean of its divisors is an integer number (128633005800).

Almost surely, 2^{1012101012001} is an apocalyptic number.

It is an amenable number.

1012101012001 is a deficient number, since it is larger than the sum of its proper divisors (16963034399).

1012101012001 is an equidigital number, since it uses as much as digits as its factorization.

1012101012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37612439.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1012101012001 its reverse (1002101012101), we get a palindrome (2014202024102).

The spelling of 1012101012001 in words is "one trillion, twelve billion, one hundred one million, twelve thousand, one".