100102010020 has 12 divisors (see below), whose sum is σ = 210214221084. Its totient is φ = 40040804000.

The previous prime is 100102009937. The next prime is 100102010051. The reversal of 100102010020 is 20010201001.

100102010020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 66674469796 + 33427540224 = 258214^2 + 182832^2 .

It is a junction number, because it is equal to n+sod(n) for n = 100102009985 and 100102010012.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2502550231 + ... + 2502550270.

It is an arithmetic number, because the mean of its divisors is an integer number (17517851757).

Almost surely, 2^100102010020 is an apocalyptic number.

100102010020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102010020 is an abundant number, since it is smaller than the sum of its proper divisors (110112211064).

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

100102010020 is a wasteful number, since it uses less digits than its factorization.

100102010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005100510 (or 5005100508 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100102010020 its reverse (20010201001), we get a palindrome (120112211021).

The spelling of 100102010020 in words is "one hundred billion, one hundred two million, ten thousand, twenty".