100133122212020 has 24 divisors (see below), whose sum is σ = 210479632385568. Its totient is φ = 40015139220000.

The previous prime is 100133122212007. The next prime is 100133122212047. The reversal of 100133122212020 is 20212221331001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100133122211983 and 100133122212001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2381832506 + ... + 2381874545.

It is an arithmetic number, because the mean of its divisors is an integer number (8769984682732).

Almost surely, 2^{100133122212020} is an apocalyptic number.

100133122212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100133122212020 is an abundant number, since it is smaller than the sum of its proper divisors (110346510173548).

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

100133122212020 is a wasteful number, since it uses less digits than its factorization.

100133122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4763708111 (or 4763708109 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100133122212020 its reverse (20212221331001), we get a palindrome (120345343543021).

The spelling of 100133122212020 in words is "one hundred trillion, one hundred thirty-three billion, one hundred twenty-two million, two hundred twelve thousand, twenty".