10100122112223 has 120 divisors (see below), whose sum is σ = 17864431047936. Its totient is φ = 5637271723200.

The previous prime is 10100122112189. The next prime is 10100122112309. The reversal of 10100122112223 is 32221122100101.

It is a de Polignac number, because none of the positive numbers 2^k-10100122112223 is a prime.

It is a super-3 number, since 3×10100122112223³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10100122112196 and 10100122112205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100122112623) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 64821736 + ... + 64977362.

Almost surely, 2^{10100122112223} is an apocalyptic number.

10100122112223 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10100122112223 is a deficient number, since it is larger than the sum of its proper divisors (7764308935713).

10100122112223 is a wasteful number, since it uses less digits than its factorization.

10100122112223 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156107 (or 156085 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10100122112223 its reverse (32221122100101), we get a palindrome (42321244212324).

The spelling of 10100122112223 in words is "ten trillion, one hundred billion, one hundred twenty-two million, one hundred twelve thousand, two hundred twenty-three".