101216010033504 has 480 divisors, whose sum is σ = 319355156736000. Its totient is φ = 31349801972736.

The previous prime is 101216010033493. The next prime is 101216010033547. The reversal of 101216010033504 is 405330010612101.

It is a happy number.

101216010033504 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 1 + 601 + 0 + 0 + 3 + 3 + 50 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15867062187 + ... + 15867068565.

It is an arithmetic number, because the mean of its divisors is an integer number (665323243200).

Almost surely, 2^{101216010033504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101216010033504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159677578368000).

101216010033504 is an abundant number, since it is smaller than the sum of its proper divisors (218139146702496).

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

101216010033504 is a wasteful number, since it uses less digits than its factorization.

101216010033504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12552 (or 12535 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 101216010033504 its reverse (405330010612101), we get a palindrome (506546020645605).

The spelling of 101216010033504 in words is "one hundred one trillion, two hundred sixteen billion, ten million, thirty-three thousand, five hundred four".