100011010110102 has 384 divisors, whose sum is σ = 283436907586560. Its totient is φ = 24771010360320.

The previous prime is 100011010110101. The next prime is 100011010110127. The reversal of 100011010110102 is 201011010110001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011010110101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7457379777 + ... + 7457393187.

It is an arithmetic number, because the mean of its divisors is an integer number (738116946840).

Almost surely, 2^{100011010110102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100011010110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141718453793280).

100011010110102 is an abundant number, since it is smaller than the sum of its proper divisors (183425897476458).

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

100011010110102 is a wasteful number, since it uses less digits than its factorization.

100011010110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17748 (or 17745 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100011010110102 its reverse (201011010110001), we get a palindrome (301022020220103).

The spelling of 100011010110102 in words is "one hundred trillion, eleven billion, ten million, one hundred ten thousand, one hundred two".