100102000201112 has 128 divisors (see below), whose sum is σ = 236361312768000. Its totient is φ = 39492882059904.

The previous prime is 100102000201103. The next prime is 100102000201117. The reversal of 100102000201112 is 211102000201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102000201093 and 100102000201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102000201117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9268493 + ... + 16914755.

It is an arithmetic number, because the mean of its divisors is an integer number (1846572756000).

Almost surely, 2^{100102000201112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102000201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118180656384000).

100102000201112 is an abundant number, since it is smaller than the sum of its proper divisors (136259312566888).

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

100102000201112 is a wasteful number, since it uses less digits than its factorization.

100102000201112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7646670 (or 7646652 counting only the distinct ones).

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

Adding to 100102000201112 its reverse (211102000201001), we get a palindrome (311204000402113).

The spelling of 100102000201112 in words is "one hundred trillion, one hundred two billion, two hundred one thousand, one hundred twelve".