100020010121120 has 192 divisors, whose sum is σ = 240944377917600. Its totient is φ = 39230284234752.

The previous prime is 100020010121117. The next prime is 100020010121173. The reversal of 100020010121120 is 21121010020001.

It can be written as a sum of positive squares in 16 ways, for example, as 564307449616 + 99455702671504 = 751204^2 + 9972748^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850328552 + ... + 850446168.

Almost surely, 2^{100020010121120} is an apocalyptic number.

100020010121120 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 100020010121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120472188958800).

100020010121120 is an abundant number, since it is smaller than the sum of its proper divisors (140924367796480).

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

100020010121120 is a wasteful number, since it uses less digits than its factorization.

100020010121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118235 (or 118227 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100020010121120 its reverse (21121010020001), we get a palindrome (121141020141121).

The spelling of 100020010121120 in words is "one hundred trillion, twenty billion, ten million, one hundred twenty-one thousand, one hundred twenty".