102111404111201 has 8 divisors (see below), whose sum is σ = 103140465499008. Its totient is φ = 101082696790000.

The previous prime is 102111404111179. The next prime is 102111404111257.

102111404111201 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 102111404111201 - 2⁶ = 102111404111137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102111404111291) 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, 87936935 + ... + 89090556.

It is an arithmetic number, because the mean of its divisors is an integer number (12892558187376).

Almost surely, 2^{102111404111201} is an apocalyptic number.

It is an amenable number.

102111404111201 is a deficient number, since it is larger than the sum of its proper divisors (1029061387807).

102111404111201 is a wasteful number, since it uses less digits than its factorization.

102111404111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177033303.

The product of its (nonzero) digits is 64, while the sum is 20.

It can be divided in two parts, 10211140 and 4111201, that added together give a palindrome (14322341).

The spelling of 102111404111201 in words is "one hundred two trillion, one hundred eleven billion, four hundred four million, one hundred eleven thousand, two hundred one".