100112111021200 has 240 divisors, whose sum is σ = 259095730938880. Its totient is φ = 37050725859840.

The previous prime is 100112111021147. The next prime is 100112111021267. The reversal of 100112111021200 is 2120111211001.

It is a happy number.

It is a super-3 number, since 3×100112111021200³ (a number of 43 digits) contains 333 as substring.

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, 5680755589 + ... + 5680773211.

Almost surely, 2^{100112111021200} is an apocalyptic number.

100112111021200 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 100112111021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129547865469440).

100112111021200 is an abundant number, since it is smaller than the sum of its proper divisors (158983619917680).

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

100112111021200 is a wasteful number, since it uses less digits than its factorization.

100112111021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35086 (or 35075 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 100112111021200 its reverse (2120111211001), we get a palindrome (102232222232201).

The spelling of 100112111021200 in words is "one hundred trillion, one hundred twelve billion, one hundred eleven million, twenty-one thousand, two hundred".