1002000110101 has 2 divisors, whose sum is σ = 1002000110102. Its totient is φ = 1002000110100.

The previous prime is 1002000110087. The next prime is 1002000110131. The reversal of 1002000110101 is 1010110002001.

1002000110101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 974228220900 + 27771889201 = 987030^2 + 166649^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1002000110101 is a prime.

It is a super-2 number, since 2×1002000110101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1002000110131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 501000055050 + 501000055051.

It is an arithmetic number, because the mean of its divisors is an integer number (501000055051).

Almost surely, 2^{1002000110101} is an apocalyptic number.

It is an amenable number.

1002000110101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1002000110101 is an equidigital number, since it uses as much as digits as its factorization.

1002000110101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1002000110101 its reverse (1010110002001), we get a palindrome (2012110112102).

The spelling of 1002000110101 in words is "one trillion, two billion, one hundred ten thousand, one hundred one".