10011022002101 has 2 divisors, whose sum is σ = 10011022002102. Its totient is φ = 10011022002100.

The previous prime is 10011022002097. The next prime is 10011022002109. The reversal of 10011022002101 is 10120022011001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7496342823025 + 2514679179076 = 2737945^2 + 1585774^2 .

It is a cyclic number.

It is not a de Polignac number, because 10011022002101 - 2² = 10011022002097 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011022002109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005511001050 + 5005511001051.

It is an arithmetic number, because the mean of its divisors is an integer number (5005511001051).

Almost surely, 2^{10011022002101} is an apocalyptic number.

It is an amenable number.

10011022002101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011022002101 is an equidigital number, since it uses as much as digits as its factorization.

10011022002101 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 11.

Adding to 10011022002101 its reverse (10120022011001), we get a palindrome (20131044013102).

The spelling of 10011022002101 in words is "ten trillion, eleven billion, twenty-two million, two thousand, one hundred one".