102000102011311 has 16 divisors (see below), whose sum is σ = 117704187148288. Its totient is φ = 86579190057600.

The previous prime is 102000102011309. The next prime is 102000102011473. The reversal of 102000102011311 is 113110201000201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102000102011311 - 2¹ = 102000102011309 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102000102011291 and 102000102011300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102000102014311) 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 15 ways as a sum of consecutive naturals, for example, 112913671 + ... + 113813431.

It is an arithmetic number, because the mean of its divisors is an integer number (7356511696768).

Almost surely, 2^{102000102011311} is an apocalyptic number.

102000102011311 is a deficient number, since it is larger than the sum of its proper divisors (15704085136977).

102000102011311 is a wasteful number, since it uses less digits than its factorization.

102000102011311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1057102.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 102000102011311 its reverse (113110201000201), we get a palindrome (215110303011512).

The spelling of 102000102011311 in words is "one hundred two trillion, one hundred two million, eleven thousand, three hundred eleven".