100103211121 has 16 divisors (see below), whose sum is σ = 109981146240. Its totient is φ = 90688308480.

The previous prime is 100103211119. The next prime is 100103211127. The reversal of 100103211121 is 121112301001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100103211121 - 2¹ = 100103211119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100103211127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1826311 + ... + 1880323.

It is an arithmetic number, because the mean of its divisors is an integer number (6873821640).

Almost surely, 2^100103211121 is an apocalyptic number.

It is an amenable number.

100103211121 is a deficient number, since it is larger than the sum of its proper divisors (9877935119).

100103211121 is a wasteful number, since it uses less digits than its factorization.

100103211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58296.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 100103211121 its reverse (121112301001), we get a palindrome (221215512122).

The spelling of 100103211121 in words is "one hundred billion, one hundred three million, two hundred eleven thousand, one hundred twenty-one".