10001012122111 has 2 divisors, whose sum is σ = 10001012122112. Its totient is φ = 10001012122110.

The previous prime is 10001012122097. The next prime is 10001012122117. The reversal of 10001012122111 is 11122121010001.

It is a happy number.

10001012122111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 10001012122111 - 2¹⁹ = 10001011597823 is a prime.

It is a super-2 number, since 2×10001012122111² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10001012122091 and 10001012122100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10001012122117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5000506061055 + 5000506061056.

It is an arithmetic number, because the mean of its divisors is an integer number (5000506061056).

Almost surely, 2^{10001012122111} is an apocalyptic number.

10001012122111 is a deficient number, since it is larger than the sum of its proper divisors (1).

10001012122111 is an equidigital number, since it uses as much as digits as its factorization.

10001012122111 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 13.

Adding to 10001012122111 its reverse (11122121010001), we get a palindrome (21123133132112).

The spelling of 10001012122111 in words is "ten trillion, one billion, twelve million, one hundred twenty-two thousand, one hundred eleven".