2125186202501 has 2 divisors, whose sum is σ = 2125186202502. Its totient is φ = 2125186202500.

The previous prime is 2125186202483. The next prime is 2125186202519. The reversal of 2125186202501 is 1052026815212.

It is a balanced prime because it is at equal distance from previous prime (2125186202483) and next prime (2125186202519).

It can be written as a sum of positive squares in only one way, i.e., 2113973510401 + 11212692100 = 1453951^2 + 105890^2 .

It is a cyclic number.

It is not a de Polignac number, because 2125186202501 - 2¹⁴ = 2125186186117 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2125186202591) 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, 1062593101250 + 1062593101251.

It is an arithmetic number, because the mean of its divisors is an integer number (1062593101251).

Almost surely, 2^{2125186202501} is an apocalyptic number.

It is an amenable number.

2125186202501 is a deficient number, since it is larger than the sum of its proper divisors (1).

2125186202501 is an equidigital number, since it uses as much as digits as its factorization.

2125186202501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 19200, while the sum is 35.

The spelling of 2125186202501 in words is "two trillion, one hundred twenty-five billion, one hundred eighty-six million, two hundred two thousand, five hundred one".