102132011 has 16 divisors (see below), whose sum is σ = 111528960. Its totient is φ = 93169440.

The previous prime is 102131969. The next prime is 102132031. The reversal of 102132011 is 110231201.

It is a cyclic number.

It is not a de Polignac number, because 102132011 - 2⁶ = 102131947 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102131983 and 102132001.

It is not an unprimeable number, because it can be changed into a prime (102132031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186440 + ... + 186986.

It is an arithmetic number, because the mean of its divisors is an integer number (6970560).

Almost surely, 2^102132011 is an apocalyptic number.

102132011 is a deficient number, since it is larger than the sum of its proper divisors (9396949).

102132011 is a wasteful number, since it uses less digits than its factorization.

102132011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 102132011 is about 10106.0383434855. The cubic root of 102132011 is about 467.4343541710.

Adding to 102132011 its reverse (110231201), we get a palindrome (212363212).

The spelling of 102132011 in words is "one hundred two million, one hundred thirty-two thousand, eleven".