101210101100001 has 16 divisors (see below), whose sum is σ = 153131122233600. Its totient is φ = 66037796461584.

The previous prime is 101210101099973. The next prime is 101210101100033. The reversal of 101210101100001 is 100001101012101.

It is not a de Polignac number, because 101210101100001 - 2⁷ = 101210101099873 is a prime.

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 (101210101100401) 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 15 ways as a sum of consecutive naturals, for example, 39877895146 + ... + 39877897683.

It is an arithmetic number, because the mean of its divisors is an integer number (9570695139600).

Almost surely, 2^{101210101100001} is an apocalyptic number.

It is an amenable number.

101210101100001 is a deficient number, since it is larger than the sum of its proper divisors (51921021133599).

101210101100001 is an equidigital number, since it uses as much as digits as its factorization.

101210101100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79755792885 (or 79755792879 counting only the distinct ones).

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

Adding to 101210101100001 its reverse (100001101012101), we get a palindrome (201211202112102).

The spelling of 101210101100001 in words is "one hundred one trillion, two hundred ten billion, one hundred one million, one hundred thousand, one".