10100213312301 has 24 divisors (see below), whose sum is σ = 16696557745920. Its totient is φ = 5763523247136.

The previous prime is 10100213312281. The next prime is 10100213312347. The reversal of 10100213312301 is 10321331200101.

10100213312301 is a `hidden beast` number, since 1 + 0 + 10 + 0 + 21 + 331 + 2 + 301 = 666.

10100213312301 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10100213312301 - 2⁹ = 10100213311789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100213312351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111443470 + ... + 111534063.

It is an arithmetic number, because the mean of its divisors is an integer number (695689906080).

Almost surely, 2^{10100213312301} is an apocalyptic number.

It is an amenable number.

10100213312301 is a deficient number, since it is larger than the sum of its proper divisors (6596344433619).

10100213312301 is a wasteful number, since it uses less digits than its factorization.

10100213312301 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222978265 (or 222978262 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10100213312301 its reverse (10321331200101), we get a palindrome (20421544512402).

The spelling of 10100213312301 in words is "ten trillion, one hundred billion, two hundred thirteen million, three hundred twelve thousand, three hundred one".