101010000101041 has 2 divisors, whose sum is σ = 101010000101042. Its totient is φ = 101010000101040.

The previous prime is 101010000100981. The next prime is 101010000101089. The reversal of 101010000101041 is 140101000010101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 50589647769600 + 50420352331441 = 7112640^2 + 7100729^2 .

It is a cyclic number.

It is not a de Polignac number, because 101010000101041 - 2¹⁹ = 101009999576753 is a prime.

It is not a weakly prime, because it can be changed into another prime (101010100101041) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50505000050520 + 50505000050521.

It is an arithmetic number, because the mean of its divisors is an integer number (50505000050521).

Almost surely, 2^{101010000101041} is an apocalyptic number.

It is an amenable number.

101010000101041 is a deficient number, since it is larger than the sum of its proper divisors (1).

101010000101041 is an equidigital number, since it uses as much as digits as its factorization.

101010000101041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101010000101041 its reverse (140101000010101), we get a palindrome (241111000111142).

The spelling of 101010000101041 in words is "one hundred one trillion, ten billion, one hundred one thousand, forty-one".