102111000001011 has 48 divisors (see below), whose sum is σ = 149131762416000. Its totient is φ = 67322504761344.

The previous prime is 102111000001001. The next prime is 102111000001019. The reversal of 102111000001011 is 110100000111201.

It is not a de Polignac number, because 102111000001011 - 2²² = 102110995806707 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102111000000984 and 102111000001002.

It is not an unprimeable number, because it can be changed into a prime (102111000001019) 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, 324771195 + ... + 325085451.

It is an arithmetic number, because the mean of its divisors is an integer number (3106911717000).

Almost surely, 2^{102111000001011} is an apocalyptic number.

102111000001011 is a deficient number, since it is larger than the sum of its proper divisors (47020762414989).

102111000001011 is a wasteful number, since it uses less digits than its factorization.

102111000001011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315468 (or 315465 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 102111000001011 its reverse (110100000111201), we get a palindrome (212211000112212).

The spelling of 102111000001011 in words is "one hundred two trillion, one hundred eleven billion, one thousand, eleven".