1011100020101 has 2 divisors, whose sum is σ = 1011100020102. Its totient is φ = 1011100020100.

The previous prime is 1011100020083. The next prime is 1011100020121. The reversal of 1011100020101 is 1010200011101.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1004456955076 + 6643065025 = 1002226^2 + 81505^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011100020101 - 2⁶ = 1011100020037 is a prime.

It is a super-5 number, since 5×1011100020101⁵ (a number of 61 digits) contains 55555 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011100020121) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505550010050 + 505550010051.

It is an arithmetic number, because the mean of its divisors is an integer number (505550010051).

Almost surely, 2^{1011100020101} is an apocalyptic number.

It is an amenable number.

1011100020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011100020101 is an equidigital number, since it uses as much as digits as its factorization.

1011100020101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1011100020101 its reverse (1010200011101), we get a palindrome (2021300031202).

The spelling of 1011100020101 in words is "one trillion, eleven billion, one hundred million, twenty thousand, one hundred one".