101333011311121 has 8 divisors (see below), whose sum is σ = 104830239729600. Its totient is φ = 97835982002640.

The previous prime is 101333011311107. The next prime is 101333011311149. The reversal of 101333011311121 is 121113110333101.

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 101333011311121 - 2⁵ = 101333011311089 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101333011311092 and 101333011311101.

It is not an unprimeable number, because it can be changed into a prime (101333011321121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48741711 + ... + 50778148.

It is an arithmetic number, because the mean of its divisors is an integer number (13103779966200).

Almost surely, 2^{101333011311121} is an apocalyptic number.

It is an amenable number.

101333011311121 is a deficient number, since it is larger than the sum of its proper divisors (3497228418479).

101333011311121 is an equidigital number, since it uses as much as digits as its factorization.

101333011311121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99554999.

The product of its (nonzero) digits is 162, while the sum is 22.

Adding to 101333011311121 its reverse (121113110333101), we get a palindrome (222446121644222).

The spelling of 101333011311121 in words is "one hundred one trillion, three hundred thirty-three billion, eleven million, three hundred eleven thousand, one hundred twenty-one".