10001142421120 has 64 divisors (see below), whose sum is σ = 25315391781000. Its totient is φ = 3765135966208.

The previous prime is 10001142421111. The next prime is 10001142421121. The reversal of 10001142421120 is 2112424110001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8190998208064 + 1810144213056 = 2861992^2 + 1345416^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (10001142421121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459600445 + ... + 459622204.

Almost surely, 2^{10001142421120} is an apocalyptic number.

10001142421120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001142421120 is an abundant number, since it is smaller than the sum of its proper divisors (15314249359880).

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

10001142421120 is an equidigital number, since it uses as much as digits as its factorization.

10001142421120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 919222685 (or 919222673 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 10001142421120 its reverse (2112424110001), we get a palindrome (12113566531121).

The spelling of 10001142421120 in words is "ten trillion, one billion, one hundred forty-two million, four hundred twenty-one thousand, one hundred twenty".