100105101111100 has 18 divisors (see below), whose sum is σ = 217228069411304. Its totient is φ = 40042040444400.

The previous prime is 100105101111091. The next prime is 100105101111107. The reversal of 100105101111100 is 1111101501001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105101111107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 500525505456 + ... + 500525505655.

Almost surely, 2^{100105101111100} is an apocalyptic number.

100105101111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100105101111100 is an abundant number, since it is smaller than the sum of its proper divisors (117122968300204).

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

100105101111100 is a wasteful number, since it uses less digits than its factorization.

100105101111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001051011125 (or 1001051011118 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 13.

Adding to 100105101111100 its reverse (1111101501001), we get a palindrome (101216202612101).

The spelling of 100105101111100 in words is "one hundred trillion, one hundred five billion, one hundred one million, one hundred eleven thousand, one hundred".