100100122112111 has 8 divisors (see below), whose sum is σ = 115623670461264. Its totient is φ = 85647163304320.

The previous prime is 100100122112099. The next prime is 100100122112117. The reversal of 100100122112111 is 111211221001001.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100100122112111 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100122112117) 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, 267647385140 + ... + 267647385513.

It is an arithmetic number, because the mean of its divisors is an integer number (14452958807658).

Almost surely, 2^{100100122112111} is an apocalyptic number.

100100122112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100100122112111 is a deficient number, since it is larger than the sum of its proper divisors (15523548349153).

100100122112111 is a wasteful number, since it uses less digits than its factorization.

100100122112111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 535294770681.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100100122112111 its reverse (111211221001001), we get a palindrome (211311343113112).

The spelling of 100100122112111 in words is "one hundred trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, one hundred eleven".