100021313122120 has 288 divisors, whose sum is σ = 257374053153000. Its totient is φ = 34960953950208.

The previous prime is 100021313122117. The next prime is 100021313122121. The reversal of 100021313122120 is 21221313120001.

It can be written as a sum of positive squares in 12 ways, for example, as 7577280214596 + 92444032907524 = 2752686^2 + 9614782^2 .

It is not an unprimeable number, because it can be changed into a prime (100021313122121) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 346731706 + ... + 347020054.

Almost surely, 2^{100021313122120} is an apocalyptic number.

100021313122120 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 100021313122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128687026576500).

100021313122120 is an abundant number, since it is smaller than the sum of its proper divisors (157352740030880).

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

100021313122120 is a wasteful number, since it uses less digits than its factorization.

100021313122120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288529 (or 288489 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100021313122120 its reverse (21221313120001), we get a palindrome (121242626242121).

The spelling of 100021313122120 in words is "one hundred trillion, twenty-one billion, three hundred thirteen million, one hundred twenty-two thousand, one hundred twenty".