100021102000106 has 48 divisors (see below), whose sum is σ = 182116572751296. Its totient is φ = 41002024561344.

The previous prime is 100021102000097. The next prime is 100021102000133. The reversal of 100021102000106 is 601000201120001.

It is a super-2 number, since 2×100021102000106² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 331157750 + ... + 331459646.

It is an arithmetic number, because the mean of its divisors is an integer number (3794095265652).

Almost surely, 2^{100021102000106} is an apocalyptic number.

100021102000106 is a deficient number, since it is larger than the sum of its proper divisors (82095470751190).

100021102000106 is a wasteful number, since it uses less digits than its factorization.

100021102000106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448923 (or 448916 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100021102000106 its reverse (601000201120001), we get a palindrome (701021303120107).

The spelling of 100021102000106 in words is "one hundred trillion, twenty-one billion, one hundred two million, one hundred six", and thus it is an aban number.