120011122000100 has 18 divisors (see below), whose sum is σ = 260424134740434. Its totient is φ = 48004448800000.

The previous prime is 120011122000093. The next prime is 120011122000151. The reversal of 120011122000100 is 1000221110021.

It can be written as a sum of positive squares in 3 ways, for example, as 802633226404 + 119208488773696 = 895898^2 + 10918264^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 600055609901 + ... + 600055610100.

Almost surely, 2^{120011122000100} is an apocalyptic number.

120011122000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120011122000100 is an abundant number, since it is smaller than the sum of its proper divisors (140413012740334).

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

120011122000100 is a wasteful number, since it uses less digits than its factorization.

120011122000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200111220015 (or 1200111220008 counting only the distinct ones).

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

Adding to 120011122000100 its reverse (1000221110021), we get a palindrome (121011343110121).

The spelling of 120011122000100 in words is "one hundred twenty trillion, eleven billion, one hundred twenty-two million, one hundred", and thus it is an aban number.