102001144311 has 48 divisors (see below), whose sum is σ = 164804709888. Its totient is φ = 60261840000.

The previous prime is 102001144309. The next prime is 102001144319. The reversal of 102001144311 is 113441100201.

102001144311 is a `hidden beast` number, since 1 + 0 + 200 + 11 + 443 + 11 = 666.

It is not a de Polignac number, because 102001144311 - 2¹ = 102001144309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102001144319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1124235 + ... + 1211571.

It is an arithmetic number, because the mean of its divisors is an integer number (3433431456).

Almost surely, 2^102001144311 is an apocalyptic number.

102001144311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102001144311 is a deficient number, since it is larger than the sum of its proper divisors (62803565577).

102001144311 is a wasteful number, since it uses less digits than its factorization.

102001144311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87652 (or 87649 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102001144311 its reverse (113441100201), we get a palindrome (215442244512).

It can be divided in two parts, 10200 and 1144311, that added together give a palindrome (1154511).

The spelling of 102001144311 in words is "one hundred two billion, one million, one hundred forty-four thousand, three hundred eleven".