101200930416 has 320 divisors, whose sum is σ = 305215464960. Its totient is φ = 32076380160.

The previous prime is 101200930361. The next prime is 101200930423. The reversal of 101200930416 is 614039002101.

101200930416 is a `hidden beast` number, since 10 + 1 + 200 + 9 + 30 + 416 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101200930416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126976930 + ... + 126977726.

It is an arithmetic number, because the mean of its divisors is an integer number (953798328).

Almost surely, 2^101200930416 is an apocalyptic number.

101200930416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200930416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152607732480).

101200930416 is an abundant number, since it is smaller than the sum of its proper divisors (204014534544).

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

101200930416 is a wasteful number, since it uses less digits than its factorization.

101200930416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 101200930416 its reverse (614039002101), we get a palindrome (715239932517).

The spelling of 101200930416 in words is "one hundred one billion, two hundred million, nine hundred thirty thousand, four hundred sixteen".