100111100212101 has 16 divisors (see below), whose sum is σ = 147057889785408. Its totient is φ = 60072667392000.

The previous prime is 100111100212031. The next prime is 100111100212129. The reversal of 100111100212101 is 101212001111001.

It is not a de Polignac number, because 100111100212101 - 2²² = 100111096017797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111100212171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15018163516 + ... + 15018170181.

It is an arithmetic number, because the mean of its divisors is an integer number (9191118111588).

Almost surely, 2^{100111100212101} is an apocalyptic number.

100111100212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100111100212101 is a deficient number, since it is larger than the sum of its proper divisors (46946789573307).

100111100212101 is a wasteful number, since it uses less digits than its factorization.

100111100212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30036333812.

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

Adding to 100111100212101 its reverse (101212001111001), we get a palindrome (201323101323102).

The spelling of 100111100212101 in words is "one hundred trillion, one hundred eleven billion, one hundred million, two hundred twelve thousand, one hundred one".