100100111212101 has 96 divisors (see below), whose sum is σ = 180822176962560. Its totient is φ = 47929764263040.

The previous prime is 100100111211959. The next prime is 100100111212141. The reversal of 100100111212101 is 101212111001001.

It is not a de Polignac number, because 100100111212101 - 2¹⁴ = 100100111195717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111212141) by changing a digit.

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, 20343160 + ... + 24779918.

It is an arithmetic number, because the mean of its divisors is an integer number (1883564343360).

Almost surely, 2^{100100111212101} is an apocalyptic number.

100100111212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100100111212101 is a deficient number, since it is larger than the sum of its proper divisors (80722065750459).

100100111212101 is a wasteful number, since it uses less digits than its factorization.

100100111212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4437487 (or 4437476 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100100111212101 its reverse (101212111001001), we get a palindrome (201312222213102).

The spelling of 100100111212101 in words is "one hundred trillion, one hundred billion, one hundred eleven million, two hundred twelve thousand, one hundred one".