2131140101201 has 2 divisors, whose sum is σ = 2131140101202. Its totient is φ = 2131140101200.

The previous prime is 2131140101131. The next prime is 2131140101261. The reversal of 2131140101201 is 1021010411312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1293960850576 + 837179250625 = 1137524^2 + 914975^2 .

It is a cyclic number.

It is not a de Polignac number, because 2131140101201 - 2¹⁴ = 2131140084817 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2131140101201.

It is not a weakly prime, because it can be changed into another prime (2131140101261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065570050600 + 1065570050601.

It is an arithmetic number, because the mean of its divisors is an integer number (1065570050601).

Almost surely, 2^{2131140101201} is an apocalyptic number.

It is an amenable number.

2131140101201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2131140101201 is an equidigital number, since it uses as much as digits as its factorization.

2131140101201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 2131140101201 its reverse (1021010411312), we get a palindrome (3152150512513).

The spelling of 2131140101201 in words is "two trillion, one hundred thirty-one billion, one hundred forty million, one hundred one thousand, two hundred one".