100201100110020 has 144 divisors (see below), whose sum is σ = 374084107138560. Its totient is φ = 21141331008768.

The previous prime is 100201100109997. The next prime is 100201100110073. The reversal of 100201100110020 is 20011001102001.

It is a happy number.

It is a super-2 number, since 2×100201100110020² (a number of 29 digits) contains 22 as substring.

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 = 100201100109984 and 100201100110011.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 3058625260 + ... + 3058658019.

Almost surely, 2^{100201100110020} is an apocalyptic number.

100201100110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201100110020 is an abundant number, since it is smaller than the sum of its proper divisors (273883007028540).

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

100201100110020 is a wasteful number, since it uses less digits than its factorization.

100201100110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6117283314 (or 6117283309 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100201100110020 its reverse (20011001102001), we get a palindrome (120212101212021).

The spelling of 100201100110020 in words is "one hundred trillion, two hundred one billion, one hundred million, one hundred ten thousand, twenty".