100416210267114 has 192 divisors, whose sum is σ = 264464139663360. Its totient is φ = 27962593588800.

The previous prime is 100416210267083. The next prime is 100416210267119. The reversal of 100416210267114 is 411762012614001.

100416210267114 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 621 + 0 + 26 + 7 + 1 + 1 + 4 = 666.

It is a super-2 number, since 2×100416210267114² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100416210267119) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25382097 + ... + 29070315.

It is an arithmetic number, because the mean of its divisors is an integer number (1377417394080).

Almost surely, 2^{100416210267114} is an apocalyptic number.

100416210267114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100416210267114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132232069831680).

100416210267114 is an abundant number, since it is smaller than the sum of its proper divisors (164047929396246).

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

100416210267114 is a wasteful number, since it uses less digits than its factorization.

100416210267114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3688447 (or 3688435 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 100416210267114 in words is "one hundred trillion, four hundred sixteen billion, two hundred ten million, two hundred sixty-seven thousand, one hundred fourteen".