101002002700021 has 2 divisors, whose sum is σ = 101002002700022. Its totient is φ = 101002002700020.

The previous prime is 101002002699991. The next prime is 101002002700103. The reversal of 101002002700021 is 120007200200101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 98493219140625 + 2508783559396 = 9924375^2 + 1583914^2 .

It is a cyclic number.

It is not a de Polignac number, because 101002002700021 - 2⁷ = 101002002699893 is a prime.

It is a super-2 number, since 2×101002002700021² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002002699968 and 101002002700004.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101002002700121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50501001350010 + 50501001350011.

It is an arithmetic number, because the mean of its divisors is an integer number (50501001350011).

Almost surely, 2^{101002002700021} is an apocalyptic number.

It is an amenable number.

101002002700021 is a deficient number, since it is larger than the sum of its proper divisors (1).

101002002700021 is an equidigital number, since it uses as much as digits as its factorization.

101002002700021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

Adding to 101002002700021 its reverse (120007200200101), we get a palindrome (221009202900122).

The spelling of 101002002700021 in words is "one hundred one trillion, two billion, two million, seven hundred thousand, twenty-one".