102100012011 has 24 divisors (see below), whose sum is σ = 153906944256. Its totient is φ = 65100031920.

The previous prime is 102100012009. The next prime is 102100012019. The reversal of 102100012011 is 110210001201.

It is a happy number.

It is not a de Polignac number, because 102100012011 - 2¹ = 102100012009 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 = 102100011984 and 102100012002.

It is not an unprimeable number, because it can be changed into a prime (102100012019) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2334616 + ... + 2377946.

It is an arithmetic number, because the mean of its divisors is an integer number (6412789344).

Almost surely, 2^102100012011 is an apocalyptic number.

102100012011 is a deficient number, since it is larger than the sum of its proper divisors (51806932245).

102100012011 is a wasteful number, since it uses less digits than its factorization.

102100012011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54743 (or 54740 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102100012011 its reverse (110210001201), we get a palindrome (212310013212).

The spelling of 102100012011 in words is "one hundred two billion, one hundred million, twelve thousand, eleven".