100101202020 has 36 divisors (see below), whose sum is σ = 303640313340. Its totient is φ = 26693653824.

The previous prime is 100101202001. The next prime is 100101202021. The reversal of 100101202020 is 20202101001.

It can be written as a sum of positive squares in 2 ways, for example, as 56305594944 + 43795607076 = 237288^2 + 209274^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 100101201993 and 100101202011.

It is not an unprimeable number, because it can be changed into a prime (100101202021) 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, 278058715 + ... + 278059074.

Almost surely, 2^100101202020 is an apocalyptic number.

100101202020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101202020 is an abundant number, since it is smaller than the sum of its proper divisors (203539111320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100101202020 is a wasteful number, since it uses less digits than its factorization.

100101202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556117804 (or 556117799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100101202020 its reverse (20202101001), we get a palindrome (120303303021).

The spelling of 100101202020 in words is "one hundred billion, one hundred one million, two hundred two thousand, twenty".