10201265254401 has 16 divisors (see below), whose sum is σ = 14763308980224. Its totient is φ = 6228270969984.

The previous prime is 10201265254399. The next prime is 10201265254409. The reversal of 10201265254401 is 10445256210201.

It is a happy number.

It is not a de Polignac number, because 10201265254401 - 2¹ = 10201265254399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201265254409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1029801756 + ... + 1029811661.

It is an arithmetic number, because the mean of its divisors is an integer number (922706811264).

Almost surely, 2^{10201265254401} is an apocalyptic number.

It is an amenable number.

10201265254401 is a deficient number, since it is larger than the sum of its proper divisors (4562043725823).

10201265254401 is a wasteful number, since it uses less digits than its factorization.

10201265254401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059613560.

The product of its (nonzero) digits is 19200, while the sum is 33.

The spelling of 10201265254401 in words is "ten trillion, two hundred one billion, two hundred sixty-five million, two hundred fifty-four thousand, four hundred one".