101000000020101 has 64 divisors (see below), whose sum is σ = 171875799932928. Its totient is φ = 51331616172288.

The previous prime is 101000000020093. The next prime is 101000000020181. The reversal of 101000000020101 is 101020000000101.

It is not a de Polignac number, because 101000000020101 - 2³ = 101000000020093 is a prime.

It is a super-3 number, since 3×101000000020101³ (a number of 43 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101000000020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000000020181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47498481 + ... + 49579286.

It is an arithmetic number, because the mean of its divisors is an integer number (2685559373952).

Almost surely, 2^{101000000020101} is an apocalyptic number.

It is an amenable number.

101000000020101 is a deficient number, since it is larger than the sum of its proper divisors (70875799912827).

101000000020101 is a wasteful number, since it uses less digits than its factorization.

101000000020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97077930.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 101000000020101 its reverse (101020000000101), we get a palindrome (202020000020202).

The spelling of 101000000020101 in words is "one hundred one trillion, twenty thousand, one hundred one".