100111001001102 has 192 divisors, whose sum is σ = 269481797544960. Its totient is φ = 26153801137152.

The previous prime is 100111001001079. The next prime is 100111001001133. The reversal of 100111001001102 is 201100100111001.

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

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2880128799 + ... + 2880163557.

It is an arithmetic number, because the mean of its divisors is an integer number (1403551028880).

Almost surely, 2^{100111001001102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111001001102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134740898772480).

100111001001102 is an abundant number, since it is smaller than the sum of its proper divisors (169370796543858).

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

100111001001102 is a wasteful number, since it uses less digits than its factorization.

100111001001102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51327 (or 51324 counting only the distinct ones).

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

Adding to 100111001001102 its reverse (201100100111001), we get a palindrome (301211101112103).

The spelling of 100111001001102 in words is "one hundred trillion, one hundred eleven billion, one million, one thousand, one hundred two".