100101002112 has 48 divisors (see below), whose sum is σ = 288051064080. Its totient is φ = 33367000320.

The previous prime is 100101002077. The next prime is 100101002119. The reversal of 100101002112 is 211200101001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100101002094 and 100101002103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101002119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 43445464 + ... + 43447767.

It is an arithmetic number, because the mean of its divisors is an integer number (6001063835).

Almost surely, 2^100101002112 is an apocalyptic number.

100101002112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100101002112 is an abundant number, since it is smaller than the sum of its proper divisors (187950061968).

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

100101002112 is an equidigital number, since it uses as much as digits as its factorization.

100101002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86893251 (or 86893236 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101002112 its reverse (211200101001), we get a palindrome (311301103113).

The spelling of 100101002112 in words is "one hundred billion, one hundred one million, two thousand, one hundred twelve".