102111110002011 has 64 divisors (see below), whose sum is σ = 150541527168000. Its totient is φ = 61559701505280.

The previous prime is 102111110002003. The next prime is 102111110002103. The reversal of 102111110002011 is 110200011111201.

It is not a de Polignac number, because 102111110002011 - 2³ = 102111110002003 is a prime.

It is a super-3 number, since 3×102111110002011³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102111110001011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3922961745 + ... + 3922987773.

It is an arithmetic number, because the mean of its divisors is an integer number (2352211362000).

Almost surely, 2^{102111110002011} is an apocalyptic number.

102111110002011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102111110002011 is a deficient number, since it is larger than the sum of its proper divisors (48430417165989).

102111110002011 is a wasteful number, since it uses less digits than its factorization.

102111110002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31201 (or 31179 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102111110002011 its reverse (110200011111201), we get a palindrome (212311121113212).

The spelling of 102111110002011 in words is "one hundred two trillion, one hundred eleven billion, one hundred ten million, two thousand, eleven".