100010010001021 has 2 divisors, whose sum is σ = 100010010001022. Its totient is φ = 100010010001020.

The previous prime is 100010010000977. The next prime is 100010010001049. The reversal of 100010010001021 is 120100010010001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 51847992308025 + 48162017692996 = 7200555^2 + 6939886^2 .

It is a cyclic number.

It is not a de Polignac number, because 100010010001021 - 2¹⁹ = 100010009476733 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010010000995 and 100010010001013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100010010001091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50005005000510 + 50005005000511.

It is an arithmetic number, because the mean of its divisors is an integer number (50005005000511).

Almost surely, 2^{100010010001021} is an apocalyptic number.

It is an amenable number.

100010010001021 is a deficient number, since it is larger than the sum of its proper divisors (1).

100010010001021 is an equidigital number, since it uses as much as digits as its factorization.

100010010001021 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 7.

Adding to 100010010001021 its reverse (120100010010001), we get a palindrome (220110020011022).

The spelling of 100010010001021 in words is "one hundred trillion, ten billion, ten million, one thousand, twenty-one".