101120317316214 has 64 divisors (see below), whose sum is σ = 232481220042240. Its totient is φ = 28722904704000.

The previous prime is 101120317316203. The next prime is 101120317316233. The reversal of 101120317316214 is 412613713021101.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132230502 + ... + 132993030.

It is an arithmetic number, because the mean of its divisors is an integer number (3632519063160).

Almost surely, 2^{101120317316214} is an apocalyptic number.

101120317316214 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

101120317316214 is an abundant number, since it is smaller than the sum of its proper divisors (131360902726026).

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

101120317316214 is a wasteful number, since it uses less digits than its factorization.

101120317316214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780965.

The product of its (nonzero) digits is 6048, while the sum is 33.

The spelling of 101120317316214 in words is "one hundred one trillion, one hundred twenty billion, three hundred seventeen million, three hundred sixteen thousand, two hundred fourteen".