101000011013101 has 2 divisors, whose sum is σ = 101000011013102. Its totient is φ = 101000011013100.

The previous prime is 101000011013039. The next prime is 101000011013131. The reversal of 101000011013101 is 101310110000101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 63501215625225 + 37498795387876 = 7968765^2 + 6123626^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101000011013101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101000011013131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50500005506550 + 50500005506551.

It is an arithmetic number, because the mean of its divisors is an integer number (50500005506551).

Almost surely, 2^{101000011013101} is an apocalyptic number.

It is an amenable number.

101000011013101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101000011013101 is an equidigital number, since it uses as much as digits as its factorization.

101000011013101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3, while the sum is 10.

Adding to 101000011013101 its reverse (101310110000101), we get a palindrome (202310121013202).

The spelling of 101000011013101 in words is "one hundred one trillion, eleven million, thirteen thousand, one hundred one".