102102011 has 16 divisors (see below), whose sum is σ = 116402400. Its totient is φ = 88704000.

The previous prime is 102101971. The next prime is 102102019. The reversal of 102102011 is 110201201.

It is not a de Polignac number, because 102102011 - 2⁶ = 102101947 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102102011.

It is not an unprimeable number, because it can be changed into a prime (102102019) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30635 + ... + 33803.

It is an arithmetic number, because the mean of its divisors is an integer number (7275150).

Almost surely, 2^102102011 is an apocalyptic number.

102102011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102102011 is a deficient number, since it is larger than the sum of its proper divisors (14300389).

102102011 is a wasteful number, since it uses less digits than its factorization.

102102011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3310.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 102102011 is about 10104.5539733330. The cubic root of 102102011 is about 467.3885820253.

Adding to 102102011 its reverse (110201201), we get a palindrome (212303212).

It can be divided in two parts, 10210 and 2011, that added together give a palindrome (12221).

The spelling of 102102011 in words is "one hundred two million, one hundred two thousand, eleven".