102132203212011 has 64 divisors (see below), whose sum is σ = 164116108800000. Its totient is φ = 55261524565632.

The previous prime is 102132203212009. The next prime is 102132203212033. The reversal of 102132203212011 is 110212302231201.

It is not a de Polignac number, because 102132203212011 - 2¹ = 102132203212009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (102132203212001) 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, 11663140 + ... + 18447038.

It is an arithmetic number, because the mean of its divisors is an integer number (2564314200000).

Almost surely, 2^{102132203212011} is an apocalyptic number.

102132203212011 is a deficient number, since it is larger than the sum of its proper divisors (61983905587989).

102132203212011 is a wasteful number, since it uses less digits than its factorization.

102132203212011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6784416.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102132203212011 its reverse (110212302231201), we get a palindrome (212344505443212).

The spelling of 102132203212011 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred three million, two hundred twelve thousand, eleven".