102120101410131 has 16 divisors (see below), whose sum is σ = 172901759001600. Its totient is φ = 58354343662824.

The previous prime is 102120101410121. The next prime is 102120101410141. The reversal of 102120101410131 is 131014101021201.

102120101410131 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 20 + 101 + 410 + 131 = 666.

It is an interprime number because it is at equal distance from previous prime (102120101410121) and next prime (102120101410141).

It is not a de Polignac number, because 102120101410131 - 2⁵ = 102120101410099 is a prime.

It is a super-2 number, since 2×102120101410131² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102120101410121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270158998251 + ... + 270158998628.

It is an arithmetic number, because the mean of its divisors is an integer number (10806359937600).

Almost surely, 2^{102120101410131} is an apocalyptic number.

102120101410131 is a deficient number, since it is larger than the sum of its proper divisors (70781657591469).

102120101410131 is an equidigital number, since it uses as much as digits as its factorization.

102120101410131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540317996895 (or 540317996889 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102120101410131 its reverse (131014101021201), we get a palindrome (233134202431332).

The spelling of 102120101410131 in words is "one hundred two trillion, one hundred twenty billion, one hundred one million, four hundred ten thousand, one hundred thirty-one".