102344313121101 has 12 divisors (see below), whose sum is σ = 147832164871612. Its totient is φ = 68228854220736.

The previous prime is 102344313121073. The next prime is 102344313121123. The reversal of 102344313121101 is 101121313443201.

102344313121101 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 4 + 431 + 3 + 121 + 101 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 16390109340900 + 85954203780201 = 4048470^2 + 9271149^2 .

It is not a de Polignac number, because 102344313121101 - 2¹¹ = 102344313119053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102344313129101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56378536 + ... + 58165521.

Almost surely, 2^{102344313121101} is an apocalyptic number.

It is an amenable number.

102344313121101 is a deficient number, since it is larger than the sum of its proper divisors (45487851750511).

102344313121101 is a wasteful number, since it uses less digits than its factorization.

102344313121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114643340 (or 114643337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 102344313121101 its reverse (101121313443201), we get a palindrome (203465626564302).

The spelling of 102344313121101 in words is "one hundred two trillion, three hundred forty-four billion, three hundred thirteen million, one hundred twenty-one thousand, one hundred one".