101210544864 has 432 divisors, whose sum is σ = 343107850176. Its totient is φ = 28110551040.

The previous prime is 101210544829. The next prime is 101210544887. The reversal of 101210544864 is 468445012101.

101210544864 is a `hidden beast` number, since 1 + 0 + 121 + 0 + 54 + 486 + 4 = 666.

It is a super-3 number, since 3×101210544864³ (a number of 34 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 71124057 + ... + 71125479.

Almost surely, 2^101210544864 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 101210544864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171553925088).

101210544864 is an abundant number, since it is smaller than the sum of its proper divisors (241897305312).

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

101210544864 is a wasteful number, since it uses less digits than its factorization.

101210544864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631 (or 1609 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Adding to 101210544864 its reverse (468445012101), we get a palindrome (569655556965).

The spelling of 101210544864 in words is "one hundred one billion, two hundred ten million, five hundred forty-four thousand, eight hundred sixty-four".