101216067264 has 448 divisors, whose sum is σ = 333353664000. Its totient is φ = 29901312000.

The previous prime is 101216067203. The next prime is 101216067283. The reversal of 101216067264 is 462760612101.

101216067264 is a `hidden beast` number, since 1 + 0 + 1 + 21 + 606 + 7 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 163515147 + ... + 163515765.

It is an arithmetic number, because the mean of its divisors is an integer number (744093000).

Almost surely, 2^101216067264 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 101216067264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166676832000).

101216067264 is an abundant number, since it is smaller than the sum of its proper divisors (232137596736).

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

101216067264 is a wasteful number, since it uses less digits than its factorization.

101216067264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 933 (or 917 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Adding to 101216067264 its reverse (462760612101), we get a palindrome (563976679365).

The spelling of 101216067264 in words is "one hundred one billion, two hundred sixteen million, sixty-seven thousand, two hundred sixty-four".