100112010110084 has 48 divisors (see below), whose sum is σ = 201230932925568. Its totient is φ = 42689881398528.

The previous prime is 100112010110083. The next prime is 100112010110113. The reversal of 100112010110084 is 480011010211001.

It is a super-2 number, since 2×100112010110084² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100112010110083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5647679 + ... + 15235494.

It is an arithmetic number, because the mean of its divisors is an integer number (4192311102616).

Almost surely, 2^{100112010110084} is an apocalyptic number.

100112010110084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

100112010110084 is an abundant number, since it is smaller than the sum of its proper divisors (101118922815484).

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

100112010110084 is a wasteful number, since it uses less digits than its factorization.

100112010110084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20884044 (or 20884042 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 20.

Adding to 100112010110084 its reverse (480011010211001), we get a palindrome (580123020321085).

The spelling of 100112010110084 in words is "one hundred trillion, one hundred twelve billion, ten million, one hundred ten thousand, eighty-four".