100102002002020 has 24 divisors (see below), whose sum is σ = 211748614459704. Its totient is φ = 39748532180736.

The previous prime is 100102002001993. The next prime is 100102002002027. The reversal of 100102002002020 is 20200200201001.

It can be written as a sum of positive squares in 4 ways, for example, as 3515445002304 + 96586556999716 = 1874952^2 + 9827846^2 .

It is a super-3 number, since 3×100102002002020³ (a number of 43 digits) contains 333 as substring.

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 = 100102002001988 and 100102002002006.

It is not an unprimeable number, because it can be changed into a prime (100102002002027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18266785947 + ... + 18266791426.

It is an arithmetic number, because the mean of its divisors is an integer number (8822858935821).

Almost surely, 2^{100102002002020} is an apocalyptic number.

100102002002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102002002020 is an abundant number, since it is smaller than the sum of its proper divisors (111646612457684).

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

100102002002020 is a wasteful number, since it uses less digits than its factorization.

100102002002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36533577519 (or 36533577517 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 100102002002020 its reverse (20200200201001), we get a palindrome (120302202203021).

The spelling of 100102002002020 in words is "one hundred trillion, one hundred two billion, two million, two thousand, twenty".