102411040114201 has 16 divisors (see below), whose sum is σ = 126142599106944. Its totient is φ = 80965359656064.

The previous prime is 102411040114139. The next prime is 102411040114213.

102411040114201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102411040114201 - 2¹⁹ = 102411039589913 is a prime.

It is a super-2 number, since 2×102411040114201² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102411040114231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438463156 + ... + 438696661.

It is an arithmetic number, because the mean of its divisors is an integer number (7883912444184).

Almost surely, 2^{102411040114201} is an apocalyptic number.

It is an amenable number.

102411040114201 is a deficient number, since it is larger than the sum of its proper divisors (23731558992743).

102411040114201 is a wasteful number, since it uses less digits than its factorization.

102411040114201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877161120.

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 102411040114201 in words is "one hundred two trillion, four hundred eleven billion, forty million, one hundred fourteen thousand, two hundred one".