101020200100101 has 12 divisors (see below), whose sum is σ = 145918787479660. Its totient is φ = 67346467450560.

The previous prime is 101020200100087. The next prime is 101020200100121. The reversal of 101020200100101 is 101001002020101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 49696874259201 + 51323325840900 = 7049601^2 + 7164030^2 .

It is not a de Polignac number, because 101020200100101 - 2⁶ = 101020200100037 is a prime.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020200100121) 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 11 ways as a sum of consecutive naturals, for example, 25787416 + ... + 29445393.

Almost surely, 2^{101020200100101} is an apocalyptic number.

It is an amenable number.

101020200100101 is a deficient number, since it is larger than the sum of its proper divisors (44898587379559).

101020200100101 is a wasteful number, since it uses less digits than its factorization.

101020200100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55436036 (or 55436033 counting only the distinct ones).

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

Adding to 101020200100101 its reverse (101001002020101), we get a palindrome (202021202120202).

The spelling of 101020200100101 in words is "one hundred one trillion, twenty billion, two hundred million, one hundred thousand, one hundred one".