10002121011061 has 2 divisors, whose sum is σ = 10002121011062. Its totient is φ = 10002121011060.

The previous prime is 10002121011059. The next prime is 10002121011139. The reversal of 10002121011061 is 16011012120001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7093134930436 + 2908986080625 = 2663294^2 + 1705575^2 .

It is a cyclic number.

It is not a de Polignac number, because 10002121011061 - 2¹ = 10002121011059 is a prime.

Together with 10002121011059, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10002121018061) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5001060505530 + 5001060505531.

It is an arithmetic number, because the mean of its divisors is an integer number (5001060505531).

Almost surely, 2^{10002121011061} is an apocalyptic number.

It is an amenable number.

10002121011061 is a deficient number, since it is larger than the sum of its proper divisors (1).

10002121011061 is an equidigital number, since it uses as much as digits as its factorization.

10002121011061 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 10002121011061 its reverse (16011012120001), we get a palindrome (26013133131062).

The spelling of 10002121011061 in words is "ten trillion, two billion, one hundred twenty-one million, eleven thousand, sixty-one".