102001211212133 has 2 divisors, whose sum is σ = 102001211212134. Its totient is φ = 102001211212132.

The previous prime is 102001211212123. The next prime is 102001211212211. The reversal of 102001211212133 is 331212112100201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 101572090576804 + 429120635329 = 10078298^2 + 655073^2 .

It is a cyclic number.

It is not a de Polignac number, because 102001211212133 - 2³⁶ = 101932491735397 is a prime.

It is a super-2 number, since 2×102001211212133² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102001211212123) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51000605606066 + 51000605606067.

It is an arithmetic number, because the mean of its divisors is an integer number (51000605606067).

Almost surely, 2^{102001211212133} is an apocalyptic number.

It is an amenable number.

102001211212133 is a deficient number, since it is larger than the sum of its proper divisors (1).

102001211212133 is an equidigital number, since it uses as much as digits as its factorization.

102001211212133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 102001211212133 its reverse (331212112100201), we get a palindrome (433213323312334).

The spelling of 102001211212133 in words is "one hundred two trillion, one billion, two hundred eleven million, two hundred twelve thousand, one hundred thirty-three".