102012102011 has 8 divisors (see below), whose sum is σ = 108085186944. Its totient is φ = 95947058560.

The previous prime is 102012101953. The next prime is 102012102053. The reversal of 102012102011 is 110201210201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102012102011 - 2¹⁴ = 102012085627 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102012101983 and 102012102001.

It is not an unprimeable number, because it can be changed into a prime (102012102211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1984235 + ... + 2034996.

It is an arithmetic number, because the mean of its divisors is an integer number (13510648368).

Almost surely, 2^102012102011 is an apocalyptic number.

102012102011 is a deficient number, since it is larger than the sum of its proper divisors (6073084933).

102012102011 is a wasteful number, since it uses less digits than its factorization.

102012102011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4020741.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102012102011 its reverse (110201210201), we get a palindrome (212213312212).

The spelling of 102012102011 in words is "one hundred two billion, twelve million, one hundred two thousand, eleven".