100120222011200 has 168 divisors, whose sum is σ = 254042725677312. Its totient is φ = 38815455098880.

The previous prime is 100120222011127. The next prime is 100120222011221. The reversal of 100120222011200 is 2110222021001.

It is a super-3 number, since 3×100120222011200³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282562 + ... + 14208638.

Almost surely, 2^{100120222011200} is an apocalyptic number.

100120222011200 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 100120222011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127021362838656).

100120222011200 is an abundant number, since it is smaller than the sum of its proper divisors (153922503666112).

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

100120222011200 is a wasteful number, since it uses less digits than its factorization.

100120222011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12926249 (or 12926234 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100120222011200 its reverse (2110222021001), we get a palindrome (102230444032201).

The spelling of 100120222011200 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty-two million, eleven thousand, two hundred".