10010111099041 has 2 divisors, whose sum is σ = 10010111099042. Its totient is φ = 10010111099040.

The previous prime is 10010111098987. The next prime is 10010111099071. The reversal of 10010111099041 is 14099011101001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9594531030016 + 415580069025 = 3097504^2 + 644655^2 .

It is an emirp because it is prime and its reverse (14099011101001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10010111099041 - 2³¹ = 10007963615393 is a prime.

It is a super-2 number, since 2×10010111099041² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10010111099071) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005055549520 + 5005055549521.

It is an arithmetic number, because the mean of its divisors is an integer number (5005055549521).

Almost surely, 2^{10010111099041} is an apocalyptic number.

It is an amenable number.

10010111099041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10010111099041 is an equidigital number, since it uses as much as digits as its factorization.

10010111099041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 324, while the sum is 28.

The spelling of 10010111099041 in words is "ten trillion, ten billion, one hundred eleven million, ninety-nine thousand, forty-one".