120011120200100 has 144 divisors (see below), whose sum is σ = 264241469161488. Its totient is φ = 47305206005760.

The previous prime is 120011120200099. The next prime is 120011120200117. The reversal of 120011120200100 is 1002021110021.

It can be written as a sum of positive squares in 24 ways, for example, as 71099028736576 + 48912091463524 = 8432024^2 + 6993718^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7062377204 + ... + 7062394196.

Almost surely, 2^{120011120200100} is an apocalyptic number.

120011120200100 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 120011120200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132120734580744).

120011120200100 is an abundant number, since it is smaller than the sum of its proper divisors (144230348961388).

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

120011120200100 is a wasteful number, since it uses less digits than its factorization.

120011120200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20194 (or 20187 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120011120200100 its reverse (1002021110021), we get a palindrome (121013141310121).

The spelling of 120011120200100 in words is "one hundred twenty trillion, eleven billion, one hundred twenty million, two hundred thousand, one hundred".