101012020101 has 6 divisors (see below), whose sum is σ = 145906251270. Its totient is φ = 67341346728.

The previous prime is 101012020069. The next prime is 101012020141. The reversal of 101012020101 is 101020210101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 100980950625 + 31069476 = 317775^2 + 5574^2 .

It is not a de Polignac number, because 101012020101 - 2⁵ = 101012020069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11223557789 = 101012020101 / (1 + 0 + 1 + 0 + 1 + 2 + 0 + 2 + 0 + 1 + 0 + 1).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012020141) 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 5 ways as a sum of consecutive naturals, for example, 5611778886 + ... + 5611778903.

It is an arithmetic number, because the mean of its divisors is an integer number (24317708545).

Almost surely, 2^101012020101 is an apocalyptic number.

It is an amenable number.

101012020101 is a deficient number, since it is larger than the sum of its proper divisors (44894231169).

101012020101 is a wasteful number, since it uses less digits than its factorization.

101012020101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11223557795 (or 11223557792 counting only the distinct ones).

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

Adding to 101012020101 its reverse (101020210101), we get a palindrome (202032230202).

The spelling of 101012020101 in words is "one hundred one billion, twelve million, twenty thousand, one hundred one".