102033020313121 has 8 divisors (see below), whose sum is σ = 103626812831400. Its totient is φ = 100451347890432.

The previous prime is 102033020313043. The next prime is 102033020313197. The reversal of 102033020313121 is 121313020330201.

It can be written as a sum of positive squares in 4 ways, for example, as 8343784650721 + 93689235662400 = 2888561^2 + 9679320^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102033020313121 is a prime.

It is a super-4 number, since 4×102033020313121⁴ (a number of 57 digits) contains 4444 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102033020313092 and 102033020313101.

It is not an unprimeable number, because it can be changed into a prime (102033020373121) 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, 3030006930 + ... + 3030040603.

It is an arithmetic number, because the mean of its divisors is an integer number (12953351603925).

Almost surely, 2^{102033020313121} is an apocalyptic number.

It is an amenable number.

102033020313121 is a deficient number, since it is larger than the sum of its proper divisors (1593792518279).

102033020313121 is a wasteful number, since it uses less digits than its factorization.

102033020313121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6060047795.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102033020313121 its reverse (121313020330201), we get a palindrome (223346040643322).

The spelling of 102033020313121 in words is "one hundred two trillion, thirty-three billion, twenty million, three hundred thirteen thousand, one hundred twenty-one".