101102020001 has 16 divisors (see below), whose sum is σ = 102153891840. Its totient is φ = 100057202640.

The previous prime is 101102019947. The next prime is 101102020043. The reversal of 101102020001 is 100020201101.

It is a cyclic number.

It is not a de Polignac number, because 101102020001 - 2³⁰ = 100028278177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101102020801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33487070 + ... + 33490088.

It is an arithmetic number, because the mean of its divisors is an integer number (6384618240).

Almost surely, 2^101102020001 is an apocalyptic number.

It is an amenable number.

101102020001 is a deficient number, since it is larger than the sum of its proper divisors (1051871839).

101102020001 is a wasteful number, since it uses less digits than its factorization.

101102020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4076.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101102020001 its reverse (100020201101), we get a palindrome (201122221102).

The spelling of 101102020001 in words is "one hundred one billion, one hundred two million, twenty thousand, one".