101616216414 has 32 divisors (see below), whose sum is σ = 204011445120. Its totient is φ = 33742451232.

The previous prime is 101616216413. The next prime is 101616216419. The reversal of 101616216414 is 414612616101.

101616216414 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101616216413) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1913529 + ... + 1965915.

It is an arithmetic number, because the mean of its divisors is an integer number (6375357660).

Almost surely, 2^101616216414 is an apocalyptic number.

101616216414 is an abundant number, since it is smaller than the sum of its proper divisors (102395228706).

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

101616216414 is a wasteful number, since it uses less digits than its factorization.

101616216414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53624.

The product of its (nonzero) digits is 6912, while the sum is 33.

The spelling of 101616216414 in words is "one hundred one billion, six hundred sixteen million, two hundred sixteen thousand, four hundred fourteen".