1000101006101 has 2 divisors, whose sum is σ = 1000101006102. Its totient is φ = 1000101006100.

The previous prime is 1000101006071. The next prime is 1000101006217. The reversal of 1000101006101 is 1016001010001.

1000101006101 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., 978910381201 + 21190624900 = 989399^2 + 145570^2 .

It is a cyclic number.

It is not a de Polignac number, because 1000101006101 - 2¹⁰ = 1000101005077 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1000101006701) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500050503050 + 500050503051.

It is an arithmetic number, because the mean of its divisors is an integer number (500050503051).

Almost surely, 2^{1000101006101} is an apocalyptic number.

It is an amenable number.

1000101006101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1000101006101 is an equidigital number, since it uses as much as digits as its factorization.

1000101006101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 1000101006101 its reverse (1016001010001), we get a palindrome (2016102016102).

The spelling of 1000101006101 in words is "one trillion, one hundred one million, six thousand, one hundred one".