10201442102340 has 96 divisors (see below), whose sum is σ = 28583201687040. Its totient is φ = 2718560065536.

The previous prime is 10201442102263. The next prime is 10201442102347. The reversal of 10201442102340 is 4320124410201.

It is a self number, because there is not a number n which added to its sum of digits gives 10201442102340.

It is not an unprimeable number, because it can be changed into a prime (10201442102347) by changing a digit.

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, 1052884216 + ... + 1052893904.

It is an arithmetic number, because the mean of its divisors is an integer number (297741684240).

Almost surely, 2^{10201442102340} is an apocalyptic number.

10201442102340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201442102340 is an abundant number, since it is smaller than the sum of its proper divisors (18381759584700).

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

10201442102340 is a wasteful number, since it uses less digits than its factorization.

10201442102340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19661 (or 19659 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 10201442102340 its reverse (4320124410201), we get a palindrome (14521566512541).

The spelling of 10201442102340 in words is "ten trillion, two hundred one billion, four hundred forty-two million, one hundred two thousand, three hundred forty".