100111101001092 has 120 divisors (see below), whose sum is σ = 262761903339936. Its totient is φ = 33236482712832.

The previous prime is 100111101001081. The next prime is 100111101001099. The reversal of 100111101001092 is 290100101111001.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (100111101001099) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 98769708 + ... + 99778140.

Almost surely, 2^{100111101001092} is an apocalyptic number.

100111101001092 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100111101001092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131380951669968).

100111101001092 is an abundant number, since it is smaller than the sum of its proper divisors (162650802338844).

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

100111101001092 is a wasteful number, since it uses less digits than its factorization.

100111101001092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009679 (or 1009668 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 18.

Adding to 100111101001092 its reverse (290100101111001), we get a palindrome (390211202112093).

The spelling of 100111101001092 in words is "one hundred trillion, one hundred eleven billion, one hundred one million, one thousand, ninety-two".