100101106016 has 48 divisors (see below), whose sum is σ = 214138229760. Its totient is φ = 45886746240.

The previous prime is 100101106013. The next prime is 100101106093. The reversal of 100101106016 is 610601101001.

100101106016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 100101105985 and 100101106003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101106013) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2636636 + ... + 2674331.

It is an arithmetic number, because the mean of its divisors is an integer number (4461213120).

Almost surely, 2^100101106016 is an apocalyptic number.

100101106016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

100101106016 is an abundant number, since it is smaller than the sum of its proper divisors (114037123744).

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

100101106016 is a wasteful number, since it uses less digits than its factorization.

100101106016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5311027 (or 5311019 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 100101106016 its reverse (610601101001), we get a palindrome (710702207017).

The spelling of 100101106016 in words is "one hundred billion, one hundred one million, one hundred six thousand, sixteen".