100000211121 has 16 divisors (see below), whose sum is σ = 148439539200. Its totient is φ = 66535822224.

The previous prime is 100000211119. The next prime is 100000211159. The reversal of 100000211121 is 121112000001.

It is a happy number.

It is not a de Polignac number, because 100000211121 - 2¹ = 100000211119 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (100000211111) 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, 3624481 + ... + 3651966.

It is an arithmetic number, because the mean of its divisors is an integer number (9277471200).

Almost surely, 2^100000211121 is an apocalyptic number.

It is an amenable number.

100000211121 is a deficient number, since it is larger than the sum of its proper divisors (48439328079).

100000211121 is an equidigital number, since it uses as much as digits as its factorization.

100000211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7276965 (or 7276959 counting only the distinct ones).

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

Adding to 100000211121 its reverse (121112000001), we get a palindrome (221112211122).

The spelling of 100000211121 in words is "one hundred billion, two hundred eleven thousand, one hundred twenty-one".