100112011121100 has 1152 divisors, whose sum is σ = 357298731417600. Its totient is φ = 21348052070400.

The previous prime is 100112011121047. The next prime is 100112011121131. The reversal of 100112011121100 is 1121110211001.

It is a super-2 number, since 2×100112011121100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25558336342 + ... + 25558340258.

It is an arithmetic number, because the mean of its divisors is an integer number (310155148800).

Almost surely, 2^{100112011121100} is an apocalyptic number.

100112011121100 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 100112011121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178649365708800).

100112011121100 is an abundant number, since it is smaller than the sum of its proper divisors (257186720296500).

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

100112011121100 is a wasteful number, since it uses less digits than its factorization.

100112011121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4503 (or 4496 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100112011121100 its reverse (1121110211001), we get a palindrome (101233121332101).

The spelling of 100112011121100 in words is "one hundred trillion, one hundred twelve billion, eleven million, one hundred twenty-one thousand, one hundred".