10100122002121 has 2 divisors, whose sum is σ = 10100122002122. Its totient is φ = 10100122002120.

The previous prime is 10100122002109. The next prime is 10100122002133. The reversal of 10100122002121 is 12120022100101.

It is a balanced prime because it is at equal distance from previous prime (10100122002109) and next prime (10100122002133).

It can be written as a sum of positive squares in only one way, i.e., 7101558765625 + 2998563236496 = 2664875^2 + 1731636^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100122002121 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100122005121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050061001060 + 5050061001061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050061001061).

Almost surely, 2^{10100122002121} is an apocalyptic number.

It is an amenable number.

10100122002121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100122002121 is an equidigital number, since it uses as much as digits as its factorization.

10100122002121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10100122002121 its reverse (12120022100101), we get a palindrome (22220144102222).

The spelling of 10100122002121 in words is "ten trillion, one hundred billion, one hundred twenty-two million, two thousand, one hundred twenty-one".