102011002111321 has 16 divisors (see below), whose sum is σ = 102518312366080. Its totient is φ = 101504754234000.

The previous prime is 102011002111297. The next prime is 102011002111339. The reversal of 102011002111321 is 123111200110201.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102011002111321 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102011002111295 and 102011002111304.

It is not an unprimeable number, because it can be changed into a prime (102011002111121) 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, 2834959696 + ... + 2834995678.

It is an arithmetic number, because the mean of its divisors is an integer number (6407394522880).

Almost surely, 2^{102011002111321} is an apocalyptic number.

It is an amenable number.

102011002111321 is a deficient number, since it is larger than the sum of its proper divisors (507310254759).

102011002111321 is a wasteful number, since it uses less digits than its factorization.

102011002111321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50356.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 102011002111321 its reverse (123111200110201), we get a palindrome (225122202221522).

The spelling of 102011002111321 in words is "one hundred two trillion, eleven billion, two million, one hundred eleven thousand, three hundred twenty-one".