1011001020101 has 2 divisors, whose sum is σ = 1011001020102. Its totient is φ = 1011001020100.

The previous prime is 1011001020091. The next prime is 1011001020103. The reversal of 1011001020101 is 1010201001101.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 752122562500 + 258878457601 = 867250^2 + 508801^2 .

It is a cyclic number.

It is not a de Polignac number, because 1011001020101 - 2³⁰ = 1009927278277 is a prime.

Together with 1011001020103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1011001020103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 505500510050 + 505500510051.

It is an arithmetic number, because the mean of its divisors is an integer number (505500510051).

Almost surely, 2^{1011001020101} is an apocalyptic number.

It is an amenable number.

1011001020101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1011001020101 is an equidigital number, since it uses as much as digits as its factorization.

1011001020101 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 8.

Adding to 1011001020101 its reverse (1010201001101), we get a palindrome (2021202021202).

The spelling of 1011001020101 in words is "one trillion, eleven billion, one million, twenty thousand, one hundred one".