100200022111120 has 80 divisors (see below), whose sum is σ = 238957466212080. Its totient is φ = 39051598233600.

The previous prime is 100200022111061. The next prime is 100200022111129. The reversal of 100200022111120 is 21111220002001.

It can be written as a sum of positive squares in 8 ways, for example, as 11240114506384 + 88959907604736 = 3352628^2 + 9431856^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 100200022111120.

It is not an unprimeable number, because it can be changed into a prime (100200022111129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17340351 + ... + 22384990.

It is an arithmetic number, because the mean of its divisors is an integer number (2986968327651).

Almost surely, 2^{100200022111120} is an apocalyptic number.

100200022111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200022111120 is an abundant number, since it is smaller than the sum of its proper divisors (138757444100960).

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

100200022111120 is a wasteful number, since it uses less digits than its factorization.

100200022111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39726164 (or 39726158 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100200022111120 its reverse (21111220002001), we get a palindrome (121311242113121).

The spelling of 100200022111120 in words is "one hundred trillion, two hundred billion, twenty-two million, one hundred eleven thousand, one hundred twenty".