10100012081 has 2 divisors, whose sum is σ = 10100012082. Its totient is φ = 10100012080.

The previous prime is 10100011993. The next prime is 10100012093. The reversal of 10100012081 is 18021000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7561867681 + 2538144400 = 86959^2 + 50380^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100012081 - 2¹⁸ = 10099749937 is a prime.

It is a super-2 number, since 2×10100012081² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10100012981) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050006040 + 5050006041.

It is an arithmetic number, because the mean of its divisors is an integer number (5050006041).

Almost surely, 2^10100012081 is an apocalyptic number.

It is an amenable number.

10100012081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100012081 is an equidigital number, since it uses as much as digits as its factorization.

10100012081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10100012081 its reverse (18021000101), we get a palindrome (28121012182).

The spelling of 10100012081 in words is "ten billion, one hundred million, twelve thousand, eighty-one".