100102122000111 has 256 divisors, whose sum is σ = 176073210593280. Its totient is φ = 49080245760000.

The previous prime is 100102122000103. The next prime is 100102122000239. The reversal of 100102122000111 is 111000221201001.

It is not a de Polignac number, because 100102122000111 - 2³ = 100102122000103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102122000911) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 70050469545 + ... + 70050470973.

It is an arithmetic number, because the mean of its divisors is an integer number (687785978880).

Almost surely, 2^{100102122000111} is an apocalyptic number.

100102122000111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100102122000111 is a deficient number, since it is larger than the sum of its proper divisors (75971088593169).

100102122000111 is a wasteful number, since it uses less digits than its factorization.

100102122000111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2958.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102122000111 its reverse (111000221201001), we get a palindrome (211102343201112).

The spelling of 100102122000111 in words is "one hundred trillion, one hundred two billion, one hundred twenty-two million, one hundred eleven", and thus it is an aban number.