10201201314407 has 8 divisors (see below), whose sum is σ = 10354861677984. Its totient is φ = 10047917109888.

The previous prime is 10201201314379. The next prime is 10201201314461. The reversal of 10201201314407 is 70441310210201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10201201314407 - 2¹⁰ = 10201201313383 is a prime.

It is a super-3 number, since 3×10201201314407³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201201314467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93985118 + ... + 94093595.

It is an arithmetic number, because the mean of its divisors is an integer number (1294357709748).

Almost surely, 2^{10201201314407} is an apocalyptic number.

10201201314407 is a deficient number, since it is larger than the sum of its proper divisors (153660363577).

10201201314407 is an equidigital number, since it uses as much as digits as its factorization.

10201201314407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188079529.

The product of its (nonzero) digits is 1344, while the sum is 26.

Adding to 10201201314407 its reverse (70441310210201), we get a palindrome (80642511524608).

The spelling of 10201201314407 in words is "ten trillion, two hundred one billion, two hundred one million, three hundred fourteen thousand, four hundred seven".