100133202010220 has 24 divisors (see below), whose sum is σ = 210279934466784. Its totient is φ = 40053240757376.

The previous prime is 100133202010211. The next prime is 100133202010229. The reversal of 100133202010220 is 22010202331001.

It is an interprime number because it is at equal distance from previous prime (100133202010211) and next prime (100133202010229).

It is not an unprimeable number, because it can be changed into a prime (100133202010229) 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, 25814489 + ... + 29438991.

It is an arithmetic number, because the mean of its divisors is an integer number (8761663936116).

Almost surely, 2^{100133202010220} is an apocalyptic number.

100133202010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133202010220 is an abundant number, since it is smaller than the sum of its proper divisors (110146732456564).

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

100133202010220 is a wasteful number, since it uses less digits than its factorization.

100133202010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5005849 (or 5005847 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 100133202010220 its reverse (22010202331001), we get a palindrome (122143404341221).

The spelling of 100133202010220 in words is "one hundred trillion, one hundred thirty-three billion, two hundred two million, ten thousand, two hundred twenty".