102011412240 has 60 divisors (see below), whose sum is σ = 342588328524. Its totient is φ = 27203043072.

The previous prime is 102011412199. The next prime is 102011412241. The reversal of 102011412240 is 42214110201.

102011412240 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 11 + 412 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32296402944 + 69715009296 = 179712^2 + 264036^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102011412241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70840539 + ... + 70841978.

Almost surely, 2^102011412240 is an apocalyptic number.

102011412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102011412240 is an abundant number, since it is smaller than the sum of its proper divisors (240576916284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102011412240 is a wasteful number, since it uses less digits than its factorization.

102011412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141682536 (or 141682527 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102011412240 its reverse (42214110201), we get a palindrome (144225522441).

The spelling of 102011412240 in words is "one hundred two billion, eleven million, four hundred twelve thousand, two hundred forty".