102111121111201 has 8 divisors (see below), whose sum is σ = 108131235293664. Its totient is φ = 96092515556160.

The previous prime is 102111121111121. The next prime is 102111121111213.

102111121111201 is nontrivially palindromic in base 10.

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 102111121111201 - 2¹⁵ = 102111121078433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111121121201) 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, 377017495 + ... + 377288236.

It is an arithmetic number, because the mean of its divisors is an integer number (13516404411708).

Almost surely, 2^{102111121111201} is an apocalyptic number.

It is an amenable number.

102111121111201 is a deficient number, since it is larger than the sum of its proper divisors (6020114182463).

102111121111201 is an equidigital number, since it uses as much as digits as its factorization.

102111121111201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754313711.

The product of its (nonzero) digits is 8, while the sum is 16.

The spelling of 102111121111201 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-one million, one hundred eleven thousand, two hundred one".