101111011110102 has 512 divisors, whose sum is σ = 245509943500800. Its totient is φ = 27174445056000.

The previous prime is 101111011110101. The next prime is 101111011110119. The reversal of 101111011110102 is 201011110111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111011110101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 230321209599 + ... + 230321210037.

It is an arithmetic number, because the mean of its divisors is an integer number (479511608400).

Almost surely, 2^{101111011110102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111011110102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122754971750400).

101111011110102 is an abundant number, since it is smaller than the sum of its proper divisors (144398932390698).

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

101111011110102 is a wasteful number, since it uses less digits than its factorization.

101111011110102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912.

The product of its (nonzero) digits is 2, while the sum is 12.

Adding to 101111011110102 its reverse (201011110111101), we get a palindrome (302122121221203).

Subtracting 101111011110102 from its reverse (201011110111101), we obtain a palindrome (99900099000999).

The spelling of 101111011110102 in words is "one hundred one trillion, one hundred eleven billion, eleven million, one hundred ten thousand, one hundred two".