100111220144120 has 32 divisors (see below), whose sum is σ = 225401116353120. Its totient is φ = 40017666541440.

The previous prime is 100111220144119. The next prime is 100111220144129. The reversal of 100111220144120 is 21441022111001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100111220144092 and 100111220144101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111220144129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838111916 + ... + 838231355.

It is an arithmetic number, because the mean of its divisors is an integer number (7043784886035).

Almost surely, 2^{100111220144120} is an apocalyptic number.

100111220144120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111220144120 is an abundant number, since it is smaller than the sum of its proper divisors (125289896209000).

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

100111220144120 is a wasteful number, since it uses less digits than its factorization.

100111220144120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676344775 (or 1676344771 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 100111220144120 its reverse (21441022111001), we get a palindrome (121552242255121).

The spelling of 100111220144120 in words is "one hundred trillion, one hundred eleven billion, two hundred twenty million, one hundred forty-four thousand, one hundred twenty".