101101001012001 has 48 divisors (see below), whose sum is σ = 154446610893120. Its totient is φ = 66070579322880.

The previous prime is 101101001011951. The next prime is 101101001012017. The reversal of 101101001012001 is 100210100101101.

It is not a de Polignac number, because 101101001012001 - 2²⁵ = 101100967457569 is a prime.

It is a super-2 number, since 2×101101001012001² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (101101001011001) 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 47 ways as a sum of consecutive naturals, for example, 4927360 + ... + 15049281.

It is an arithmetic number, because the mean of its divisors is an integer number (3217637726940).

Almost surely, 2^{101101001012001} is an apocalyptic number.

It is an amenable number.

101101001012001 is a deficient number, since it is larger than the sum of its proper divisors (53345609881119).

101101001012001 is an equidigital number, since it uses as much as digits as its factorization.

101101001012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19977068 (or 19977056 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101101001012001 its reverse (100210100101101), we get a palindrome (201311101113102).

The spelling of 101101001012001 in words is "one hundred one trillion, one hundred one billion, one million, twelve thousand, one".