101001220020 has 36 divisors (see below), whose sum is σ = 306370367940. Its totient is φ = 26933658624.

The previous prime is 101001219967. The next prime is 101001220043. The reversal of 101001220020 is 20022100101.

It can be written as a sum of positive squares in 2 ways, for example, as 42705049104 + 58296170916 = 206652^2 + 241446^2 .

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 = 101001219984 and 101001220011.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 280558765 + ... + 280559124.

Almost surely, 2^101001220020 is an apocalyptic number.

101001220020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001220020 is an abundant number, since it is smaller than the sum of its proper divisors (205369147920).

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

101001220020 is a wasteful number, since it uses less digits than its factorization.

101001220020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561117904 (or 561117899 counting only the distinct ones).

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

Adding to 101001220020 its reverse (20022100101), we get a palindrome (121023320121).

The spelling of 101001220020 in words is "one hundred one billion, one million, two hundred twenty thousand, twenty".