100200101102020 has 24 divisors (see below), whose sum is σ = 210550021273368. Its totient is φ = 40055314924800.

The previous prime is 100200101101993. The next prime is 100200101102021. The reversal of 100200101102020 is 20201101002001.

It can be written as a sum of positive squares in 4 ways, for example, as 19698400370944 + 80501700731076 = 4438288^2 + 8972274^2 .

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 = 100200101101988 and 100200101102006.

It is not an unprimeable number, because it can be changed into a prime (100200101102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1545311521 + ... + 1545376360.

It is an arithmetic number, because the mean of its divisors is an integer number (8772917553057).

Almost surely, 2^{100200101102020} is an apocalyptic number.

100200101102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200101102020 is an abundant number, since it is smaller than the sum of its proper divisors (110349920171348).

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

100200101102020 is a wasteful number, since it uses less digits than its factorization.

100200101102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090689511 (or 3090689509 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200101102020 its reverse (20201101002001), we get a palindrome (120401202104021).

The spelling of 100200101102020 in words is "one hundred trillion, two hundred billion, one hundred one million, one hundred two thousand, twenty".