100100010101102 has 16 divisors (see below), whose sum is σ = 163923452911872. Its totient is φ = 45465716707320.

The previous prime is 100100010101099. The next prime is 100100010101107. The reversal of 100100010101102 is 201101010001001.

It is a happy number.

It is a super-3 number, since 3×100100010101102³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 100100010101102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100010101107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1714364348 + ... + 1714422735.

It is an arithmetic number, because the mean of its divisors is an integer number (10245215806992).

Almost surely, 2^{100100010101102} is an apocalyptic number.

100100010101102 is a deficient number, since it is larger than the sum of its proper divisors (63823442810770).

100100010101102 is a wasteful number, since it uses less digits than its factorization.

100100010101102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428788423.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100100010101102 its reverse (201101010001001), we get a palindrome (301201020102103).

The spelling of 100100010101102 in words is "one hundred trillion, one hundred billion, ten million, one hundred one thousand, one hundred two".