100011011212101 has 8 divisors (see below), whose sum is σ = 145470561763104. Its totient is φ = 60612734067920.

The previous prime is 100011011212067. The next prime is 100011011212181. The reversal of 100011011212101 is 101212110110001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100011011212101 - 2²⁷ = 100010876994373 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100011011212181) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1515318351666 + ... + 1515318351731.

It is an arithmetic number, because the mean of its divisors is an integer number (18183820220388).

Almost surely, 2^{100011011212101} is an apocalyptic number.

100011011212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100011011212101 is a deficient number, since it is larger than the sum of its proper divisors (45459550551003).

100011011212101 is a wasteful number, since it uses less digits than its factorization.

100011011212101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3030636703411.

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

Adding to 100011011212101 its reverse (101212110110001), we get a palindrome (201223121322102).

The spelling of 100011011212101 in words is "one hundred trillion, eleven billion, eleven million, two hundred twelve thousand, one hundred one".