100133021001244 has 96 divisors (see below), whose sum is σ = 219124616256000. Its totient is φ = 38896488403200.

The previous prime is 100133021001241. The next prime is 100133021001283. The reversal of 100133021001244 is 442100120331001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100133021001241) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 156600474 + ... + 157238590.

It is an arithmetic number, because the mean of its divisors is an integer number (2282548086000).

Almost surely, 2^{100133021001244} is an apocalyptic number.

100133021001244 is a gapful number since it is divisible by the number (14) 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 100133021001244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109562308128000).

100133021001244 is an abundant number, since it is smaller than the sum of its proper divisors (118991595254756).

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

100133021001244 is a wasteful number, since it uses less digits than its factorization.

100133021001244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639659 (or 639657 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100133021001244 its reverse (442100120331001), we get a palindrome (542233141332245).

The spelling of 100133021001244 in words is "one hundred trillion, one hundred thirty-three billion, twenty-one million, one thousand, two hundred forty-four".