10100314214301 has 16 divisors (see below), whose sum is σ = 14273343474624. Its totient is φ = 6331195901184.

The previous prime is 10100314214293. The next prime is 10100314214317. The reversal of 10100314214301 is 10341241300101.

It is not a de Polignac number, because 10100314214301 - 2³ = 10100314214293 is a prime.

It is a super-2 number, since 2×10100314214301² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100314215301) 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 15 ways as a sum of consecutive naturals, for example, 97700251 + ... + 97803576.

It is an arithmetic number, because the mean of its divisors is an integer number (892083967164).

Almost surely, 2^{10100314214301} is an apocalyptic number.

It is an amenable number.

10100314214301 is a deficient number, since it is larger than the sum of its proper divisors (4173029260323).

10100314214301 is a wasteful number, since it uses less digits than its factorization.

10100314214301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195504860.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 10100314214301 its reverse (10341241300101), we get a palindrome (20441555514402).

The spelling of 10100314214301 in words is "ten trillion, one hundred billion, three hundred fourteen million, two hundred fourteen thousand, three hundred one".