1021001100101 has 2 divisors, whose sum is σ = 1021001100102. Its totient is φ = 1021001100100.

The previous prime is 1021001100061. The next prime is 1021001100109. The reversal of 1021001100101 is 1010011001201.

It is a happy number.

It is an a-pointer prime, because the next prime (1021001100109) can be obtained adding 1021001100101 to its sum of digits (8).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 933154068001 + 87847032100 = 965999^2 + 296390^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021001100101 - 2³⁸ = 746123193157 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1021001100109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 510500550050 + 510500550051.

It is an arithmetic number, because the mean of its divisors is an integer number (510500550051).

Almost surely, 2^{1021001100101} is an apocalyptic number.

It is an amenable number.

1021001100101 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021001100101 is an equidigital number, since it uses as much as digits as its factorization.

1021001100101 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 1021001100101 its reverse (1010011001201), we get a palindrome (2031012101302).

It can be divided in two parts, 1021001100 and 101, that added together give a palindrome (1021001201).

The spelling of 1021001100101 in words is "one trillion, twenty-one billion, one million, one hundred thousand, one hundred one".