102010010100041 has 2 divisors, whose sum is σ = 102010010100042. Its totient is φ = 102010010100040.

The previous prime is 102010010099969. The next prime is 102010010100043. The reversal of 102010010100041 is 140001010010201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 88845158944441 + 13164851155600 = 9425771^2 + 3628340^2 .

It is a cyclic number.

It is not a de Polignac number, because 102010010100041 - 2²² = 102010005905737 is a prime.

It is a super-2 number, since 2×102010010100041² (a number of 29 digits) contains 22 as substring.

Together with 102010010100043, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102010010099995 and 102010010100031.

It is not a weakly prime, because it can be changed into another prime (102010010100043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51005005050020 + 51005005050021.

It is an arithmetic number, because the mean of its divisors is an integer number (51005005050021).

Almost surely, 2^{102010010100041} is an apocalyptic number.

It is an amenable number.

102010010100041 is a deficient number, since it is larger than the sum of its proper divisors (1).

102010010100041 is an equidigital number, since it uses as much as digits as its factorization.

102010010100041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102010010100041 its reverse (140001010010201), we get a palindrome (242011020110242).

The spelling of 102010010100041 in words is "one hundred two trillion, ten billion, ten million, one hundred thousand, forty-one".