101002102001 has 16 divisors (see below), whose sum is σ = 102309865680. Its totient is φ = 99702005760.

The previous prime is 101002101931. The next prime is 101002102009. The reversal of 101002102001 is 100201200101.

It can be written as a sum of positive squares in 8 ways, for example, as 15562812001 + 85439290000 = 124751^2 + 292300^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002102001 - 2³⁰ = 99928360177 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 101002102001.

It is not an unprimeable number, because it can be changed into a prime (101002102009) 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, 59517185 + ... + 59518881.

It is an arithmetic number, because the mean of its divisors is an integer number (6394366605).

Almost surely, 2^101002102001 is an apocalyptic number.

It is an amenable number.

101002102001 is a deficient number, since it is larger than the sum of its proper divisors (1307763679).

101002102001 is a wasteful number, since it uses less digits than its factorization.

101002102001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524.

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

Adding to 101002102001 its reverse (100201200101), we get a palindrome (201203302102).

The spelling of 101002102001 in words is "one hundred one billion, two million, one hundred two thousand, one".