10419011904101 has 2 divisors, whose sum is σ = 10419011904102. Its totient is φ = 10419011904100.

The previous prime is 10419011904071. The next prime is 10419011904131. The reversal of 10419011904101 is 10140911091401.

10419011904101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10419011904071) and next prime (10419011904131).

It can be written as a sum of positive squares in only one way, i.e., 10418111844100 + 900060001 = 3227710^2 + 30001^2 .

It is a cyclic number.

It is not a de Polignac number, because 10419011904101 - 2¹⁴ = 10419011887717 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10419011904131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5209505952050 + 5209505952051.

It is an arithmetic number, because the mean of its divisors is an integer number (5209505952051).

Almost surely, 2^{10419011904101} is an apocalyptic number.

It is an amenable number.

10419011904101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10419011904101 is an equidigital number, since it uses as much as digits as its factorization.

10419011904101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1296, while the sum is 32.

Adding to 10419011904101 its reverse (10140911091401), we get a palindrome (20559922995502).

The spelling of 10419011904101 in words is "ten trillion, four hundred nineteen billion, eleven million, nine hundred four thousand, one hundred one".