101330121033 has 12 divisors (see below), whose sum is σ = 146368566708. Its totient is φ = 67552104960.

The previous prime is 101330121029. The next prime is 101330121041. The reversal of 101330121033 is 330121033101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 63165763584 + 38164357449 = 251328^2 + 195357^2 .

It is not a de Polignac number, because 101330121033 - 2² = 101330121029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101330120997 and 101330121015.

It is not an unprimeable number, because it can be changed into a prime (101330121133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 686641 + ... + 821057.

It is an arithmetic number, because the mean of its divisors is an integer number (12197380559).

Almost surely, 2^101330121033 is an apocalyptic number.

It is an amenable number.

101330121033 is a deficient number, since it is larger than the sum of its proper divisors (45038445675).

101330121033 is a wasteful number, since it uses less digits than its factorization.

101330121033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218184 (or 218181 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 101330121033 its reverse (330121033101), we get a palindrome (431451154134).

It can be divided in two parts, 101 and 330121033, that multiplied together give a palindrome (33342224333).

The spelling of 101330121033 in words is "one hundred one billion, three hundred thirty million, one hundred twenty-one thousand, thirty-three".