100102002020 has 48 divisors (see below), whose sum is σ = 224278927488. Its totient is φ = 37397767680.

The previous prime is 100102002001. The next prime is 100102002029. The reversal of 100102002020 is 20200201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102001989 and 100102002007.

It is not an unprimeable number, because it can be changed into a prime (100102002029) 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 15 ways as a sum of consecutive naturals, for example, 1079192 + ... + 1168271.

It is an arithmetic number, because the mean of its divisors is an integer number (4672477656).

Almost surely, 2^100102002020 is an apocalyptic number.

100102002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102002020 is an abundant number, since it is smaller than the sum of its proper divisors (124176925468).

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

100102002020 is a wasteful number, since it uses less digits than its factorization.

100102002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2247620 (or 2247618 counting only the distinct ones).

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

Adding to 100102002020 its reverse (20200201001), we get a palindrome (120302203021).

The spelling of 100102002020 in words is "one hundred billion, one hundred two million, two thousand, twenty".