101121331333201 has 8 divisors (see below), whose sum is σ = 102521396727680. Its totient is φ = 99724267152432.

The previous prime is 101121331333199. The next prime is 101121331333219. The reversal of 101121331333201 is 102333133121101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101121331333201 - 2¹ = 101121331333199 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101121331333801) 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 7 ways as a sum of consecutive naturals, for example, 750235575 + ... + 750370348.

It is an arithmetic number, because the mean of its divisors is an integer number (12815174590960).

Almost surely, 2^{101121331333201} is an apocalyptic number.

It is an amenable number.

101121331333201 is a deficient number, since it is larger than the sum of its proper divisors (1400065394479).

101121331333201 is an equidigital number, since it uses as much as digits as its factorization.

101121331333201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500606855.

The product of its (nonzero) digits is 972, while the sum is 25.

Adding to 101121331333201 its reverse (102333133121101), we get a palindrome (203454464454302).

The spelling of 101121331333201 in words is "one hundred one trillion, one hundred twenty-one billion, three hundred thirty-one million, three hundred thirty-three thousand, two hundred one".