100133020020 has 240 divisors, whose sum is σ = 318443005440. Its totient is φ = 23485228800.

The previous prime is 100133019997. The next prime is 100133020049. The reversal of 100133020020 is 20020331001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100133019978 and 100133020005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 27230422 + ... + 27234098.

It is an arithmetic number, because the mean of its divisors is an integer number (1326845856).

Almost surely, 2^100133020020 is an apocalyptic number.

100133020020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100133020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159221502720).

100133020020 is an abundant number, since it is smaller than the sum of its proper divisors (218309985420).

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

100133020020 is a wasteful number, since it uses less digits than its factorization.

100133020020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3764 (or 3729 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100133020020 its reverse (20020331001), we get a palindrome (120153351021).

The spelling of 100133020020 in words is "one hundred billion, one hundred thirty-three million, twenty thousand, twenty".