101331114121 has 4 divisors (see below), whose sum is σ = 104825290500. Its totient is φ = 97836937744.

The previous prime is 101331114103. The next prime is 101331114133. The reversal of 101331114121 is 121411133101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 60091658496 + 41239455625 = 245136^2 + 203075^2 .

It is a cyclic number.

It is not a de Polignac number, because 101331114121 - 2⁷ = 101331113993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101331115121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1747088146 + ... + 1747088203.

It is an arithmetic number, because the mean of its divisors is an integer number (26206322625).

Almost surely, 2^101331114121 is an apocalyptic number.

It is an amenable number.

101331114121 is a deficient number, since it is larger than the sum of its proper divisors (3494176379).

101331114121 is an equidigital number, since it uses as much as digits as its factorization.

101331114121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3494176378.

The product of its (nonzero) digits is 72, while the sum is 19.

Adding to 101331114121 its reverse (121411133101), we get a palindrome (222742247222).

The spelling of 101331114121 in words is "one hundred one billion, three hundred thirty-one million, one hundred fourteen thousand, one hundred twenty-one".