10101001102223 has 16 divisors (see below), whose sum is σ = 10550213556480. Its totient is φ = 9659629056000.

The previous prime is 10101001102219. The next prime is 10101001102229. The reversal of 10101001102223 is 32220110010101.

It is a cyclic number.

It is not a de Polignac number, because 10101001102223 - 2² = 10101001102219 is a prime.

It is a super-2 number, since 2×10101001102223² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10101001102198 and 10101001102207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101001102229) 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, 3603323 + ... + 5760723.

It is an arithmetic number, because the mean of its divisors is an integer number (659388347280).

Almost surely, 2^{10101001102223} is an apocalyptic number.

10101001102223 is a deficient number, since it is larger than the sum of its proper divisors (449212454257).

10101001102223 is a wasteful number, since it uses less digits than its factorization.

10101001102223 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159218.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10101001102223 its reverse (32220110010101), we get a palindrome (42321111112324).

The spelling of 10101001102223 in words is "ten trillion, one hundred one billion, one million, one hundred two thousand, two hundred twenty-three".