100200200101120 has 216 divisors, whose sum is σ = 281960564108328. Its totient is φ = 34014210048000.

The previous prime is 100200200101103. The next prime is 100200200101159. The reversal of 100200200101120 is 21101002002001.

It can be written as a sum of positive squares in 4 ways, for example, as 6496870818816 + 93703329282304 = 2548896^2 + 9680048^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100200200101097 and 100200200101106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1574091 + ... + 14243530.

It is an arithmetic number, because the mean of its divisors is an integer number (1305372981983).

Almost surely, 2^{100200200101120} is an apocalyptic number.

100200200101120 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 100200200101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140980282054164).

100200200101120 is an abundant number, since it is smaller than the sum of its proper divisors (181760364007208).

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

100200200101120 is a wasteful number, since it uses less digits than its factorization.

100200200101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15817757 (or 15817736 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200200101120 its reverse (21101002002001), we get a palindrome (121301202103121).

The spelling of 100200200101120 in words is "one hundred trillion, two hundred billion, two hundred million, one hundred one thousand, one hundred twenty".