101032010020 has 48 divisors (see below), whose sum is σ = 216228480048. Its totient is φ = 39639641600.

The previous prime is 101032010017. The next prime is 101032010059. The reversal of 101032010020 is 20010230101.

It can be written as a sum of positive squares in 8 ways, for example, as 19871977024 + 81160032996 = 140968^2 + 284886^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101032009979 and 101032010006.

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 15 ways as a sum of consecutive naturals, for example, 4777470 + ... + 4798570.

It is an arithmetic number, because the mean of its divisors is an integer number (4504760001).

Almost surely, 2^101032010020 is an apocalyptic number.

101032010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101032010020 is an abundant number, since it is smaller than the sum of its proper divisors (115196470028).

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

101032010020 is a wasteful number, since it uses less digits than its factorization.

101032010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25680 (or 25678 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 101032010020 its reverse (20010230101), we get a palindrome (121042240121).

The spelling of 101032010020 in words is "one hundred one billion, thirty-two million, ten thousand, twenty".