102111141111201 has 18 divisors (see below), whose sum is σ = 151587929737062. Its totient is φ = 66234253685760.

The previous prime is 102111141111167. The next prime is 102111141111227.

102111141111201 is a `hidden beast` number, since 1 + 0 + 21 + 111 + 411 + 1 + 120 + 1 = 666.

102111141111201 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 3 ways, for example, as 66549717155601 + 35561423955600 = 8157801^2 + 5963340^2 .

It is not a de Polignac number, because 102111141111201 - 2⁹ = 102111141110689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102111141111281) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4143772320 + ... + 4143796961.

It is an arithmetic number, because the mean of its divisors is an integer number (8421551652059).

Almost surely, 2^{102111141111201} is an apocalyptic number.

It is an amenable number.

102111141111201 is a deficient number, since it is larger than the sum of its proper divisors (49476788625861).

102111141111201 is an equidigital number, since it uses as much as digits as its factorization.

102111141111201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8287569361 (or 8287569321 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 18.

The spelling of 102111141111201 in words is "one hundred two trillion, one hundred eleven billion, one hundred forty-one million, one hundred eleven thousand, two hundred one".