100001020001101 has 2 divisors, whose sum is σ = 100001020001102. Its totient is φ = 100001020001100.

The previous prime is 100001020001089. The next prime is 100001020001147. The reversal of 100001020001101 is 101100020100001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 95396261944201 + 4604758056900 = 9767101^2 + 2145870^2 .

It is a cyclic number.

It is not a de Polignac number, because 100001020001101 - 2¹¹ = 100001019999053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100001020001401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50000510000550 + 50000510000551.

It is an arithmetic number, because the mean of its divisors is an integer number (50000510000551).

Almost surely, 2^{100001020001101} is an apocalyptic number.

It is an amenable number.

100001020001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

100001020001101 is an equidigital number, since it uses as much as digits as its factorization.

100001020001101 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 100001020001101 its reverse (101100020100001), we get a palindrome (201101040101102).

The spelling of 100001020001101 in words is "one hundred trillion, one billion, twenty million, one thousand, one hundred one".