101000020121021 has 12 divisors (see below), whose sum is σ = 117618787344960. Its totient is φ = 86476416750360.

The previous prime is 101000020120997. The next prime is 101000020121059. The reversal of 101000020121021 is 120121020000101.

It is not a de Polignac number, because 101000020121021 - 2¹⁰ = 101000020119997 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101000020120993 and 101000020121011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000020421021) 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 in 11 ways as a sum of consecutive naturals, for example, 1131253331 + ... + 1131342608.

It is an arithmetic number, because the mean of its divisors is an integer number (9801565612080).

Almost surely, 2^{101000020121021} is an apocalyptic number.

It is an amenable number.

101000020121021 is a deficient number, since it is larger than the sum of its proper divisors (16618767223939).

101000020121021 is an equidigital number, since it uses as much as digits as its factorization.

101000020121021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2262596864 (or 2262596857 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101000020121021 its reverse (120121020000101), we get a palindrome (221121040121122).

The spelling of 101000020121021 in words is "one hundred one trillion, twenty million, one hundred twenty-one thousand, twenty-one".