10201213424400 has 60 divisors (see below), whose sum is σ = 32677887006672. Its totient is φ = 2720323579520.

The previous prime is 10201213424341. The next prime is 10201213424411. The reversal of 10201213424400 is 442431210201.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4250504394 + ... + 4250506793.

Almost surely, 2^{10201213424400} is an apocalyptic number.

10201213424400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10201213424400 is an abundant number, since it is smaller than the sum of its proper divisors (22476673582272).

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

10201213424400 is a wasteful number, since it uses less digits than its factorization.

10201213424400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8501011208 (or 8501011197 counting only the distinct ones).

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

Adding to 10201213424400 its reverse (442431210201), we get a palindrome (10643644634601).

The spelling of 10201213424400 in words is "ten trillion, two hundred one billion, two hundred thirteen million, four hundred twenty-four thousand, four hundred".