2130012000101 has 2 divisors, whose sum is σ = 2130012000102. Its totient is φ = 2130012000100.

The previous prime is 2130012000073. The next prime is 2130012000119. The reversal of 2130012000101 is 1010002100312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1752525868900 + 377486131201 = 1323830^2 + 614399^2 .

It is a cyclic number.

It is not a de Polignac number, because 2130012000101 - 2⁶ = 2130012000037 is a prime.

It is a super-2 number, since 2×2130012000101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2130012003101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065006000050 + 1065006000051.

It is an arithmetic number, because the mean of its divisors is an integer number (1065006000051).

Almost surely, 2^{2130012000101} is an apocalyptic number.

It is an amenable number.

2130012000101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130012000101 is an equidigital number, since it uses as much as digits as its factorization.

2130012000101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 2130012000101 its reverse (1010002100312), we get a palindrome (3140014100413).

The spelling of 2130012000101 in words is "two trillion, one hundred thirty billion, twelve million, one hundred one", and thus it is an aban number.