101025225113201 has 2 divisors, whose sum is σ = 101025225113202. Its totient is φ = 101025225113200.

The previous prime is 101025225113147. The next prime is 101025225113207. The reversal of 101025225113201 is 102311522520101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97858786369600 + 3166438743601 = 9892360^2 + 1779449^2 .

It is a cyclic number.

It is not a de Polignac number, because 101025225113201 - 2¹⁰ = 101025225112177 is a prime.

It is a super-2 number, since 2×101025225113201² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101025225113207) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50512612556600 + 50512612556601.

It is an arithmetic number, because the mean of its divisors is an integer number (50512612556601).

Almost surely, 2^{101025225113201} is an apocalyptic number.

It is an amenable number.

101025225113201 is a deficient number, since it is larger than the sum of its proper divisors (1).

101025225113201 is an equidigital number, since it uses as much as digits as its factorization.

101025225113201 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1200, while the sum is 26.

Adding to 101025225113201 its reverse (102311522520101), we get a palindrome (203336747633302).

The spelling of 101025225113201 in words is "one hundred one trillion, twenty-five billion, two hundred twenty-five million, one hundred thirteen thousand, two hundred one".