1021001001101 has 2 divisors, whose sum is σ = 1021001001102. Its totient is φ = 1021001001100.

The previous prime is 1021001001091. The next prime is 1021001001127. The reversal of 1021001001101 is 1011001001201.

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., 747142411876 + 273858589225 = 864374^2 + 523315^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021001001101 - 2³⁰ = 1019927259277 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021001003101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510500500550 + 510500500551.

It is an arithmetic number, because the mean of its divisors is an integer number (510500500551).

Almost surely, 2^{1021001001101} is an apocalyptic number.

It is an amenable number.

1021001001101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021001001101 is an equidigital number, since it uses as much as digits as its factorization.

1021001001101 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 1021001001101 its reverse (1011001001201), we get a palindrome (2032002002302).

It can be divided in two parts, 102100100 and 1101, that added together give a palindrome (102101201).

The spelling of 1021001001101 in words is "one trillion, twenty-one billion, one million, one thousand, one hundred one".