102132231201 has 288 divisors, whose sum is σ = 208956384000. Its totient is φ = 47650861440.

The previous prime is 102132231199. The next prime is 102132231209.

102132231201 is a `hidden beast` number, since 10 + 21 + 322 + 312 + 0 + 1 = 666.

102132231201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102132231201 - 2¹ = 102132231199 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102132231209) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2760330555 + ... + 2760330591.

It is an arithmetic number, because the mean of its divisors is an integer number (725543000).

Almost surely, 2^102132231201 is an apocalyptic number.

102132231201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102132231201 is an abundant number, since it is smaller than the sum of its proper divisors (106824152799).

102132231201 is an equidigital number, since it uses as much as digits as its factorization.

102132231201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 102132 and 231201, that added together give a palindrome (333333).

The spelling of 102132231201 in words is "one hundred two billion, one hundred thirty-two million, two hundred thirty-one thousand, two hundred one".