100211121 has 16 divisors (see below), whose sum is σ = 149008000. Its totient is φ = 66561264.

The previous prime is 100211117. The next prime is 100211131. The reversal of 100211121 is 121112001.

It is a happy number.

It is not a de Polignac number, because 100211121 - 2² = 100211117 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100211101) 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, 780 + ... + 14178.

It is an arithmetic number, because the mean of its divisors is an integer number (9313000).

Almost surely, 2^100211121 is an apocalyptic number.

It is an amenable number.

100211121 is a deficient number, since it is larger than the sum of its proper divisors (48796879).

100211121 is a wasteful number, since it uses less digits than its factorization.

100211121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13685 (or 13679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 100211121 is about 10010.5504843640. The cubic root of 100211121 is about 464.4852993834.

Adding to 100211121 its reverse (121112001), we get a palindrome (221323122).

The spelling of 100211121 in words is "one hundred million, two hundred eleven thousand, one hundred twenty-one".