214101401001312 has 48 divisors (see below), whose sum is σ = 613108557415872. Its totient is φ = 64879212424320.

The previous prime is 214101401001311. The next prime is 214101401001329. The reversal of 214101401001312 is 213100104101412.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214101401001311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101373768358 + ... + 101373770469.

It is an arithmetic number, because the mean of its divisors is an integer number (12773094946164).

Almost surely, 2^{214101401001312} is an apocalyptic number.

214101401001312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214101401001312 is an abundant number, since it is smaller than the sum of its proper divisors (399007156414560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

214101401001312 is a wasteful number, since it uses less digits than its factorization.

214101401001312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202747538851 (or 202747538843 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

Adding to 214101401001312 its reverse (213100104101412), we get a palindrome (427201505102724).

The spelling of 214101401001312 in words is "two hundred fourteen trillion, one hundred one billion, four hundred one million, one thousand, three hundred twelve".