10216405100160 has 1024 divisors, whose sum is σ = 43688927232000. Its totient is φ = 2206647926784.

The previous prime is 10216405100141. The next prime is 10216405100201. The reversal of 10216405100160 is 6100150461201.

10216405100160 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 640 + 5 + 1 + 0 + 0 + 16 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 164837497 + ... + 164899463.

It is an arithmetic number, because the mean of its divisors is an integer number (42664968000).

Almost surely, 2^{10216405100160} is an apocalyptic number.

10216405100160 is a gapful number since it is divisible by the number (10) 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 10216405100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21844463616000).

10216405100160 is an abundant number, since it is smaller than the sum of its proper divisors (33472522131840).

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

10216405100160 is a wasteful number, since it uses less digits than its factorization.

10216405100160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62078 (or 62060 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 10216405100160 its reverse (6100150461201), we get a palindrome (16316555561361).

The spelling of 10216405100160 in words is "ten trillion, two hundred sixteen billion, four hundred five million, one hundred thousand, one hundred sixty".