100120020101120 has 192 divisors, whose sum is σ = 247512268458000. Its totient is φ = 38850879029248.

The previous prime is 100120020101119. The next prime is 100120020101131. The reversal of 100120020101120 is 21101020021001.

It can be written as a sum of positive squares in 8 ways, for example, as 65235215156224 + 34884804944896 = 8076832^2 + 5906336^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47265686 + ... + 49338474.

Almost surely, 2^{100120020101120} is an apocalyptic number.

100120020101120 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 100120020101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123756134229000).

100120020101120 is an abundant number, since it is smaller than the sum of its proper divisors (147392248356880).

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

100120020101120 is an equidigital number, since it uses as much as digits as its factorization.

100120020101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072958 (or 2072938 counting only the distinct ones).

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

Adding to 100120020101120 its reverse (21101020021001), we get a palindrome (121221040122121).

The spelling of 100120020101120 in words is "one hundred trillion, one hundred twenty billion, twenty million, one hundred one thousand, one hundred twenty".