101002010101 has 16 divisors (see below), whose sum is σ = 103706422848. Its totient is φ = 98309411200.

The previous prime is 101002010099. The next prime is 101002010119. The reversal of 101002010101 is 101010200101.

It is a cyclic number.

It is not a de Polignac number, because 101002010101 - 2¹ = 101002010099 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002010171) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50424366 + ... + 50426368.

It is an arithmetic number, because the mean of its divisors is an integer number (6481651428).

Almost surely, 2^101002010101 is an apocalyptic number.

It is an amenable number.

101002010101 is a deficient number, since it is larger than the sum of its proper divisors (2704412747).

101002010101 is a wasteful number, since it uses less digits than its factorization.

101002010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4292.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101002010101 its reverse (101010200101), we get a palindrome (202012210202).

The spelling of 101002010101 in words is "one hundred one billion, two million, ten thousand, one hundred one".