102133121303101 has 48 divisors (see below), whose sum is σ = 120302553561840. Its totient is φ = 86444058624000.

The previous prime is 102133121303063. The next prime is 102133121303167. The reversal of 102133121303101 is 101303121331201.

It can be written as a sum of positive squares in 8 ways, for example, as 38090794307076 + 64042326996025 = 6171774^2 + 8002645^2 .

It is not a de Polignac number, because 102133121303101 - 2¹⁵ = 102133121270333 is a prime.

It is a super-2 number, since 2×102133121303101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102133121303201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15662183721 + ... + 15662190241.

It is an arithmetic number, because the mean of its divisors is an integer number (2506303199205).

Almost surely, 2^{102133121303101} is an apocalyptic number.

It is an amenable number.

102133121303101 is a deficient number, since it is larger than the sum of its proper divisors (18169432258739).

102133121303101 is a wasteful number, since it uses less digits than its factorization.

102133121303101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10846 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 22.

Adding to 102133121303101 its reverse (101303121331201), we get a palindrome (203436242634302).

The spelling of 102133121303101 in words is "one hundred two trillion, one hundred thirty-three billion, one hundred twenty-one million, three hundred three thousand, one hundred one".