314101204101 has 12 divisors (see below), whose sum is σ = 454065007500. Its totient is φ = 209233140480.

The previous prime is 314101204073. The next prime is 314101204129. The reversal of 314101204101 is 101402101413.

314101204101 is a `hidden beast` number, since 31 + 410 + 120 + 4 + 101 = 666.

It is an interprime number because it is at equal distance from previous prime (314101204073) and next prime (314101204129).

It can be written as a sum of positive squares in 2 ways, for example, as 252596708100 + 61504496001 = 502590^2 + 248001^2 .

It is not a de Polignac number, because 314101204101 - 2⁶ = 314101204037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314101204141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13959990 + ... + 13982471.

It is an arithmetic number, because the mean of its divisors is an integer number (37838750625).

Almost surely, 2^314101204101 is an apocalyptic number.

It is an amenable number.

314101204101 is a deficient number, since it is larger than the sum of its proper divisors (139963803399).

314101204101 is a wasteful number, since it uses less digits than its factorization.

314101204101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27943716 (or 27943713 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 314101204101 its reverse (101402101413), we get a palindrome (415503305514).

The spelling of 314101204101 in words is "three hundred fourteen billion, one hundred one million, two hundred four thousand, one hundred one".