10201514628361 has 9 divisors (see below), whose sum is σ = 11867094045261. Its totient is φ = 8744136231852.

The previous prime is 10201514628337. The next prime is 10201514628367. The reversal of 10201514628361 is 16382641510201.

The square root of 10201514628361 is 3193981.

It is a perfect power (a square), and thus also a powerful number.

10201514628361 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10201514628361 - 2⁹ = 10201514627849 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10201514628367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22129726 + ... + 22586008.

It is an arithmetic number, because the mean of its divisors is an integer number (1318566005029).

Almost surely, 2^{10201514628361} is an apocalyptic number.

10201514628361 is the 3193981-st square number.

10201514628361 is the 1596991-st centered octagonal number.

It is an amenable number.

10201514628361 is a deficient number, since it is larger than the sum of its proper divisors (1665579416900).

10201514628361 is an frugal number, since it uses more digits than its factorization.

10201514628361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 912580 (or 456290 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 10201514628361 in words is "ten trillion, two hundred one billion, five hundred fourteen million, six hundred twenty-eight thousand, three hundred sixty-one".