100113102102 has 96 divisors (see below), whose sum is σ = 229282758432. Its totient is φ = 28963639296.

The previous prime is 100113102091. The next prime is 100113102107. The reversal of 100113102102 is 201201311001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100113102107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36899898 + ... + 36902610.

It is an arithmetic number, because the mean of its divisors is an integer number (2388362067).

Almost surely, 2^100113102102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113102102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114641379216).

100113102102 is an abundant number, since it is smaller than the sum of its proper divisors (129169656330).

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

100113102102 is a wasteful number, since it uses less digits than its factorization.

100113102102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4402 (or 4385 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100113102102 its reverse (201201311001), we get a palindrome (301314413103).

It can be divided in two parts, 10011 and 3102102, that added together give a palindrome (3112113).

The spelling of 100113102102 in words is "one hundred billion, one hundred thirteen million, one hundred two thousand, one hundred two".