101012000020101 has 24 divisors (see below), whose sum is σ = 146715167497080. Its totient is φ = 66968663504256.

The previous prime is 101012000020073. The next prime is 101012000020111. The reversal of 101012000020101 is 101020000210101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 18493216539876 + 82518783480225 = 4300374^2 + 9083985^2 .

It is not a de Polignac number, because 101012000020101 - 2⁵ = 101012000020069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012000020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26970666 + ... + 30486731.

It is an arithmetic number, because the mean of its divisors is an integer number (6113131979045).

Almost surely, 2^{101012000020101} is an apocalyptic number.

It is an amenable number.

101012000020101 is a deficient number, since it is larger than the sum of its proper divisors (45703167476979).

101012000020101 is a wasteful number, since it uses less digits than its factorization.

101012000020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57458485 (or 57458482 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101012000020101 its reverse (101020000210101), we get a palindrome (202032000230202).

The spelling of 101012000020101 in words is "one hundred one trillion, twelve billion, twenty thousand, one hundred one".