102211000011105 has 8 divisors (see below), whose sum is σ = 163537600017792. Its totient is φ = 54512533339248.

The previous prime is 102211000011089. The next prime is 102211000011179. The reversal of 102211000011105 is 501110000112201.

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

It is not a de Polignac number, because 102211000011105 - 2⁴ = 102211000011089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15), and also a Moran number because the ratio is a prime number: 6814066667407 = 102211000011105 / (1 + 0 + 2 + 2 + 1 + 1 + 0 + 0 + 0 + 0 + 1 + 1 + 1 + 0 + 5).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3407033333689 + ... + 3407033333718.

It is an arithmetic number, because the mean of its divisors is an integer number (20442200002224).

Almost surely, 2^{102211000011105} is an apocalyptic number.

102211000011105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102211000011105 is a deficient number, since it is larger than the sum of its proper divisors (61326600006687).

102211000011105 is an equidigital number, since it uses as much as digits as its factorization.

102211000011105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6814066667415.

The product of its (nonzero) digits is 20, while the sum is 15.

Adding to 102211000011105 its reverse (501110000112201), we get a palindrome (603321000123306).

The spelling of 102211000011105 in words is "one hundred two trillion, two hundred eleven billion, eleven thousand, one hundred five".