102310201013121 has 12 divisors (see below), whose sum is σ = 147873020456148. Its totient is φ = 68164514986464.

The previous prime is 102310201013107. The next prime is 102310201013131. The reversal of 102310201013121 is 121310102013201.

102310201013121 is a `hidden beast` number, since 1 + 0 + 2 + 310 + 201 + 0 + 131 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 39089192058225 + 63221008954896 = 6252135^2 + 7951164^2 .

It is not a de Polignac number, because 102310201013121 - 2¹⁷ = 102310200882049 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102310201013094 and 102310201013103.

It is not an unprimeable number, because it can be changed into a prime (102310201013131) 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, 3523792090 + ... + 3523821123.

It is an arithmetic number, because the mean of its divisors is an integer number (12322751704679).

Almost surely, 2^{102310201013121} is an apocalyptic number.

It is an amenable number.

102310201013121 is a deficient number, since it is larger than the sum of its proper divisors (45562819443027).

102310201013121 is a wasteful number, since it uses less digits than its factorization.

102310201013121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047614832 (or 7047614829 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 102310201013121 its reverse (121310102013201), we get a palindrome (223620303026322).

The spelling of 102310201013121 in words is "one hundred two trillion, three hundred ten billion, two hundred one million, thirteen thousand, one hundred twenty-one".