101021120010001 has 8 divisors (see below), whose sum is σ = 101187358773120. Its totient is φ = 100854891048912.

The previous prime is 101021120009977. The next prime is 101021120010043. The reversal of 101021120010001 is 100010021120101.

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 101021120010001 - 2³⁵ = 100986760271633 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 101021120010001.

It is not an unprimeable number, because it can be changed into a prime (101021120010901) 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, 18323496 + ... + 23190358.

It is an arithmetic number, because the mean of its divisors is an integer number (12648419846640).

Almost surely, 2^{101021120010001} is an apocalyptic number.

It is an amenable number.

101021120010001 is a deficient number, since it is larger than the sum of its proper divisors (166238763119).

101021120010001 is an equidigital number, since it uses as much as digits as its factorization.

101021120010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901015.

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

Adding to 101021120010001 its reverse (100010021120101), we get a palindrome (201031141130102).

The spelling of 101021120010001 in words is "one hundred one trillion, twenty-one billion, one hundred twenty million, ten thousand, one".