314121555120101 has 16 divisors (see below), whose sum is σ = 329200672197120. Its totient is φ = 299354511075840.

The previous prime is 314121555120077. The next prime is 314121555120119. The reversal of 314121555120101 is 101021555121413.

It is a cyclic number.

It is not a de Polignac number, because 314121555120101 - 2²⁶ = 314121488011237 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314121555120151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18064256 + ... + 30895961.

It is an arithmetic number, because the mean of its divisors is an integer number (20575042012320).

Almost surely, 2^{314121555120101} is an apocalyptic number.

314121555120101 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

314121555120101 is a deficient number, since it is larger than the sum of its proper divisors (15079117077019).

314121555120101 is a wasteful number, since it uses less digits than its factorization.

314121555120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48963404.

The product of its (nonzero) digits is 6000, while the sum is 32.

The spelling of 314121555120101 in words is "three hundred fourteen trillion, one hundred twenty-one billion, five hundred fifty-five million, one hundred twenty thousand, one hundred one".