100221101123 has 36 divisors (see below), whose sum is σ = 119438287920. Its totient is φ = 83994356160.

The previous prime is 100221101093. The next prime is 100221101153. The reversal of 100221101123 is 321101122001.

It is an interprime number because it is at equal distance from previous prime (100221101093) and next prime (100221101153).

It is not a de Polignac number, because 100221101123 - 2¹⁸ = 100220838979 is a prime.

It is a super-2 number, since 2×100221101123² (a number of 23 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 = 100221101098 and 100221101107.

It is not an unprimeable number, because it can be changed into a prime (100221101153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 18789965 + ... + 18795297.

It is an arithmetic number, because the mean of its divisors is an integer number (3317730220).

Almost surely, 2^100221101123 is an apocalyptic number.

100221101123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100221101123 is a deficient number, since it is larger than the sum of its proper divisors (19217186797).

100221101123 is a wasteful number, since it uses less digits than its factorization.

100221101123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6300 (or 6276 counting only the distinct ones).

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

Adding to 100221101123 its reverse (321101122001), we get a palindrome (421322223124).

The spelling of 100221101123 in words is "one hundred billion, two hundred twenty-one million, one hundred one thousand, one hundred twenty-three".