100211113123303 has 64 divisors (see below), whose sum is σ = 126164423024640. Its totient is φ = 77475655296000.

The previous prime is 100211113123273. The next prime is 100211113123321. The reversal of 100211113123303 is 303321311112001.

It is not a de Polignac number, because 100211113123303 - 2²⁵ = 100211079568871 is a prime.

It is a super-2 number, since 2×100211113123303² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211113123403) 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, 15297067878 + ... + 15297074428.

It is an arithmetic number, because the mean of its divisors is an integer number (1971319109760).

Almost surely, 2^{100211113123303} is an apocalyptic number.

100211113123303 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100211113123303 is a deficient number, since it is larger than the sum of its proper divisors (25953309901337).

100211113123303 is a wasteful number, since it uses less digits than its factorization.

100211113123303 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11848.

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 100211113123303 its reverse (303321311112001), we get a palindrome (403532424235304).

The spelling of 100211113123303 in words is "one hundred trillion, two hundred eleven billion, one hundred thirteen million, one hundred twenty-three thousand, three hundred three".