100112201002100 has 108 divisors (see below), whose sum is σ = 252800473796640. Its totient is φ = 34312139064000.

The previous prime is 100112201002081. The next prime is 100112201002109. The reversal of 100112201002100 is 1200102211001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100112201002109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10386761 + ... + 17553039.

Almost surely, 2^{100112201002100} is an apocalyptic number.

100112201002100 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 100112201002100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126400236898320).

100112201002100 is an abundant number, since it is smaller than the sum of its proper divisors (152688272794540).

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

100112201002100 is a wasteful number, since it uses less digits than its factorization.

100112201002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7169158 (or 7169144 counting only the distinct ones).

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

Adding to 100112201002100 its reverse (1200102211001), we get a palindrome (101312303213101).

The spelling of 100112201002100 in words is "one hundred trillion, one hundred twelve billion, two hundred one million, two thousand, one hundred".