10100010121 has 2 divisors, whose sum is σ = 10100010122. Its totient is φ = 10100010120.

The previous prime is 10100010113. The next prime is 10100010133. The reversal of 10100010121 is 12101000101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9855525625 + 244484496 = 99275^2 + 15636^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100010121 - 2³ = 10100010113 is a prime.

It is not a weakly prime, because it can be changed into another prime (10100010181) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050005060 + 5050005061.

It is an arithmetic number, because the mean of its divisors is an integer number (5050005061).

Almost surely, 2^10100010121 is an apocalyptic number.

It is an amenable number.

10100010121 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100010121 is an equidigital number, since it uses as much as digits as its factorization.

10100010121 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 10100010121 its reverse (12101000101), we get a palindrome (22201010222).

The spelling of 10100010121 in words is "ten billion, one hundred million, ten thousand, one hundred twenty-one".