101021211121 has 4 divisors (see below), whose sum is σ = 101022093172. Its totient is φ = 101020329072.

The previous prime is 101021211119. The next prime is 101021211173. The reversal of 101021211121 is 121112120101.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in 2 ways, for example, as 52665201121 + 48356010000 = 229489^2 + 219900^2 .

It is a cyclic number.

It is not a de Polignac number, because 101021211121 - 2¹ = 101021211119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101021211721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 238110 + ... + 508663.

It is an arithmetic number, because the mean of its divisors is an integer number (25255523293).

Almost surely, 2^101021211121 is an apocalyptic number.

It is an amenable number.

101021211121 is a deficient number, since it is larger than the sum of its proper divisors (882051).

101021211121 is an equidigital number, since it uses as much as digits as its factorization.

101021211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882050.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021211121 its reverse (121112120101), we get a palindrome (222133331222).

The spelling of 101021211121 in words is "one hundred one billion, twenty-one million, two hundred eleven thousand, one hundred twenty-one".