10200012121133 has 2 divisors, whose sum is σ = 10200012121134. Its totient is φ = 10200012121132.

The previous prime is 10200012121099. The next prime is 10200012121141. The reversal of 10200012121133 is 33112121000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7279970252164 + 2920041868969 = 2698142^2 + 1708813^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200012121133 - 2²⁶ = 10199945012269 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200012121183) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5100006060566 + 5100006060567.

It is an arithmetic number, because the mean of its divisors is an integer number (5100006060567).

Almost surely, 2^{10200012121133} is an apocalyptic number.

It is an amenable number.

10200012121133 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200012121133 is an equidigital number, since it uses as much as digits as its factorization.

10200012121133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10200012121133 its reverse (33112121000201), we get a palindrome (43312133121334).

The spelling of 10200012121133 in words is "ten trillion, two hundred billion, twelve million, one hundred twenty-one thousand, one hundred thirty-three".