100200110211120 has 80 divisors (see below), whose sum is σ = 313695790657632. Its totient is φ = 26455474636800.

The previous prime is 100200110211083. The next prime is 100200110211151. The reversal of 100200110211120 is 21112011002001.

100200110211120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100200110211096 and 100200110211105.

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, 2066809717 + ... + 2066858196.

Almost surely, 2^{100200110211120} is an apocalyptic number.

100200110211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200110211120 is an abundant number, since it is smaller than the sum of its proper divisors (213495680446512).

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

100200110211120 is a wasteful number, since it uses less digits than its factorization.

100200110211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4133668030 (or 4133668024 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100200110211120 its reverse (21112011002001), we get a palindrome (121312121213121).

The spelling of 100200110211120 in words is "one hundred trillion, two hundred billion, one hundred ten million, two hundred eleven thousand, one hundred twenty".