20100210100121 has 2 divisors, whose sum is σ = 20100210100122. Its totient is φ = 20100210100120.

The previous prime is 20100210100097. The next prime is 20100210100127. The reversal of 20100210100121 is 12100101200102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 18827476396096 + 1272733704025 = 4339064^2 + 1128155^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100210100121 - 2³⁴ = 20083030230937 is a prime.

It is not a weakly prime, because it can be changed into another prime (20100210100127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050105050060 + 10050105050061.

It is an arithmetic number, because the mean of its divisors is an integer number (10050105050061).

Almost surely, 2^{20100210100121} is an apocalyptic number.

It is an amenable number.

20100210100121 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100210100121 is an equidigital number, since it uses as much as digits as its factorization.

20100210100121 is an evil number, because the sum of its binary digits is even.

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

Adding to 20100210100121 its reverse (12100101200102), we get a palindrome (32200311300223).

The spelling of 20100210100121 in words is "twenty trillion, one hundred billion, two hundred ten million, one hundred thousand, one hundred twenty-one".