10300100223011 has 16 divisors (see below), whose sum is σ = 10684605422400. Its totient is φ = 9917574847488.

The previous prime is 10300100223001. The next prime is 10300100223013. The reversal of 10300100223011 is 11032200100301.

It is a cyclic number.

It is not a de Polignac number, because 10300100223011 - 2⁶ = 10300100222947 is a prime.

It is a super-3 number, since 3×10300100223011³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10300100223013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23412155 + ... + 23848043.

It is an arithmetic number, because the mean of its divisors is an integer number (667787838900).

Almost surely, 2^{10300100223011} is an apocalyptic number.

10300100223011 is a deficient number, since it is larger than the sum of its proper divisors (384505199389).

10300100223011 is a wasteful number, since it uses less digits than its factorization.

10300100223011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438158.

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10300100223011 its reverse (11032200100301), we get a palindrome (21332300323312).

The spelling of 10300100223011 in words is "ten trillion, three hundred billion, one hundred million, two hundred twenty-three thousand, eleven".