101302142240 has 144 divisors (see below), whose sum is σ = 267514119936. Its totient is φ = 36196992000.

The previous prime is 101302142219. The next prime is 101302142257. The reversal of 101302142240 is 42241203101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 777815 + ... + 898665.

It is an arithmetic number, because the mean of its divisors is an integer number (1857736944).

Almost surely, 2^101302142240 is an apocalyptic number.

101302142240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101302142240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133757059968).

101302142240 is an abundant number, since it is smaller than the sum of its proper divisors (166211977696).

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

101302142240 is a wasteful number, since it uses less digits than its factorization.

101302142240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120923 (or 120902 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 101302142240 its reverse (42241203101), we get a palindrome (143543345341).

The spelling of 101302142240 in words is "one hundred one billion, three hundred two million, one hundred forty-two thousand, two hundred forty".