102120132240 has 160 divisors (see below), whose sum is σ = 401996770560. Its totient is φ = 23341741056.

The previous prime is 102120132229. The next prime is 102120132311. The reversal of 102120132240 is 42231021201.

It is a happy number.

102120132240 is a `hidden beast` number, since 102 + 1 + 201 + 322 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3361869 + ... + 3392108.

It is an arithmetic number, because the mean of its divisors is an integer number (2512479816).

Almost surely, 2^102120132240 is an apocalyptic number.

102120132240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102120132240 is an abundant number, since it is smaller than the sum of its proper divisors (299876638320).

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

102120132240 is a wasteful number, since it uses less digits than its factorization.

102120132240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6754006 (or 6753994 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 102120132240 its reverse (42231021201), we get a palindrome (144351153441).

The spelling of 102120132240 in words is "one hundred two billion, one hundred twenty million, one hundred thirty-two thousand, two hundred forty".