100120201111120 has 20 divisors (see below), whose sum is σ = 232779467583540. Its totient is φ = 40048080444416.

The previous prime is 100120201111109. The next prime is 100120201111157. The reversal of 100120201111120 is 21111102021001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 76604645798464 + 23515555312656 = 8752408^2 + 4849284^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×100120201111120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100120201111120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 625751256865 + ... + 625751257024.

It is an arithmetic number, because the mean of its divisors is an integer number (11638973379177).

Almost surely, 2^{100120201111120} is an apocalyptic number.

100120201111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120201111120 is an abundant number, since it is smaller than the sum of its proper divisors (132659266472420).

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

100120201111120 is a wasteful number, since it uses less digits than its factorization.

100120201111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251502513902 (or 1251502513896 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100120201111120 its reverse (21111102021001), we get a palindrome (121231303132121).

The spelling of 100120201111120 in words is "one hundred trillion, one hundred twenty billion, two hundred one million, one hundred eleven thousand, one hundred twenty".