10194297508201 has 9 divisors (see below), whose sum is σ = 10415965674711. Its totient is φ = 9977250690072.

The previous prime is 10194297508121. The next prime is 10194297508231. The reversal of 10194297508201 is 10280579249101.

The square root of 10194297508201 is 3192851.

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

10194297508201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9389107147225 + 805190360976 = 3064165^2 + 897324^2 .

It is not a de Polignac number, because 10194297508201 - 2⁹ = 10194297507689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10194297508231) 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, 150030031 + ... + 150097963.

Almost surely, 2^{10194297508201} is an apocalyptic number.

10194297508201 is the 3192851-st square number.

10194297508201 is the 1596426-th centered octagonal number.

It is an amenable number.

10194297508201 is a deficient number, since it is larger than the sum of its proper divisors (221668166510).

10194297508201 is an frugal number, since it uses more digits than its factorization.

10194297508201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135960 (or 67980 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 49.

Multiplying 10194297508201 by its sum of digits (49), we get a square (499520577901849 = 22349957²).

The spelling of 10194297508201 in words is "ten trillion, one hundred ninety-four billion, two hundred ninety-seven million, five hundred eight thousand, two hundred one".