100102001202112 has 56 divisors (see below), whose sum is σ = 244479887565536. Its totient is φ = 39600791682048.

The previous prime is 100102001202109. The next prime is 100102001202127. The reversal of 100102001202112 is 211202100201001.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 100102001202092 and 100102001202101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8593915983 + ... + 8593927630.

It is an arithmetic number, because the mean of its divisors is an integer number (4365712277956).

Almost surely, 2^{100102001202112} is an apocalyptic number.

It is an amenable number.

100102001202112 is an abundant number, since it is smaller than the sum of its proper divisors (144377886363424).

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

100102001202112 is a wasteful number, since it uses less digits than its factorization.

100102001202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17187843645 (or 17187843635 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102001202112 its reverse (211202100201001), we get a palindrome (311304101403113).

The spelling of 100102001202112 in words is "one hundred trillion, one hundred two billion, one million, two hundred two thousand, one hundred twelve".