100102001002020 has 72 divisors (see below), whose sum is σ = 308789223462720. Its totient is φ = 26241428508480.

The previous prime is 100102001002019. The next prime is 100102001002021. The reversal of 100102001002020 is 20200100201001.

100102001002020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100102001002019) and next prime (100102001002021).

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 = 100102001001993 and 100102001002011.

It is not an unprimeable number, because it can be changed into a prime (100102001002021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4712889616 + ... + 4712910855.

It is an arithmetic number, because the mean of its divisors is an integer number (4288739214760).

Almost surely, 2^{100102001002020} is an apocalyptic number.

100102001002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102001002020 is an abundant number, since it is smaller than the sum of its proper divisors (208687222460700).

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

100102001002020 is a wasteful number, since it uses less digits than its factorization.

100102001002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9425800545 (or 9425800540 counting only the distinct ones).

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

Adding to 100102001002020 its reverse (20200100201001), we get a palindrome (120302101203021).

The spelling of 100102001002020 in words is "one hundred trillion, one hundred two billion, one million, two thousand, twenty".