10100011100223 has 64 divisors (see below), whose sum is σ = 15794290271232. Its totient is φ = 5678627834880.

The previous prime is 10100011100213. The next prime is 10100011100233. The reversal of 10100011100223 is 32200111000101.

It is an interprime number because it is at equal distance from previous prime (10100011100213) and next prime (10100011100233).

It is not a de Polignac number, because 10100011100223 - 2¹⁸ = 10100010838079 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100011100199 and 10100011100208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011100213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8215461 + ... + 9364497.

It is an arithmetic number, because the mean of its divisors is an integer number (246785785488).

Almost surely, 2^{10100011100223} is an apocalyptic number.

10100011100223 is a deficient number, since it is larger than the sum of its proper divisors (5694279171009).

10100011100223 is a wasteful number, since it uses less digits than its factorization.

10100011100223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149424.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10100011100223 its reverse (32200111000101), we get a palindrome (42300122100324).

The spelling of 10100011100223 in words is "ten trillion, one hundred billion, eleven million, one hundred thousand, two hundred twenty-three".