20100202012129 has 2 divisors, whose sum is σ = 20100202012130. Its totient is φ = 20100202012128.

The previous prime is 20100202012127. The next prime is 20100202012229. The reversal of 20100202012129 is 92121020200102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 19284525702225 + 815676309904 = 4391415^2 + 903148^2 .

It is a cyclic number.

It is not a de Polignac number, because 20100202012129 - 2¹ = 20100202012127 is a prime.

It is a super-2 number, since 2×20100202012129² (a number of 27 digits) contains 22 as substring.

Together with 20100202012127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (20100202012127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050101006064 + 10050101006065.

It is an arithmetic number, because the mean of its divisors is an integer number (10050101006065).

Almost surely, 2^{20100202012129} is an apocalyptic number.

It is an amenable number.

20100202012129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20100202012129 is an equidigital number, since it uses as much as digits as its factorization.

20100202012129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 22.

The spelling of 20100202012129 in words is "twenty trillion, one hundred billion, two hundred two million, twelve thousand, one hundred twenty-nine".