10111002121001 has 2 divisors, whose sum is σ = 10111002121002. Its totient is φ = 10111002121000.

The previous prime is 10111002120953. The next prime is 10111002121009. The reversal of 10111002121001 is 10012120011101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8984646553600 + 1126355567401 = 2997440^2 + 1061299^2 .

It is a cyclic number.

It is not a de Polignac number, because 10111002121001 - 2³⁴ = 10093822251817 is a prime.

It is not a weakly prime, because it can be changed into another prime (10111002121009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5055501060500 + 5055501060501.

It is an arithmetic number, because the mean of its divisors is an integer number (5055501060501).

Almost surely, 2^{10111002121001} is an apocalyptic number.

It is an amenable number.

10111002121001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10111002121001 is an equidigital number, since it uses as much as digits as its factorization.

10111002121001 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 11.

Adding to 10111002121001 its reverse (10012120011101), we get a palindrome (20123122132102).

The spelling of 10111002121001 in words is "ten trillion, one hundred eleven billion, two million, one hundred twenty-one thousand, one".