100122111201200 has 240 divisors, whose sum is σ = 267599928258432. Its totient is φ = 35694796800000.

The previous prime is 100122111201199. The next prime is 100122111201223. The reversal of 100122111201200 is 2102111221001.

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, 46794800 + ... + 48887600.

Almost surely, 2^{100122111201200} is an apocalyptic number.

100122111201200 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 100122111201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133799964129216).

100122111201200 is an abundant number, since it is smaller than the sum of its proper divisors (167477817057232).

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

100122111201200 is a wasteful number, since it uses less digits than its factorization.

100122111201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2093044 (or 2093033 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100122111201200 its reverse (2102111221001), we get a palindrome (102224222422201).

The spelling of 100122111201200 in words is "one hundred trillion, one hundred twenty-two billion, one hundred eleven million, two hundred one thousand, two hundred".