101212504848 has 480 divisors, whose sum is σ = 360185280000. Its totient is φ = 25816817664.

The previous prime is 101212504831. The next prime is 101212504853. The reversal of 101212504848 is 848405212101.

101212504848 is a `hidden beast` number, since 1 + 0 + 121 + 2 + 50 + 484 + 8 = 666.

It is a super-2 number, since 2×101212504848² (a number of 23 digits) contains 22 as substring.

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 95 ways as a sum of consecutive naturals, for example, 96484228 + ... + 96485276.

It is an arithmetic number, because the mean of its divisors is an integer number (750386000).

Almost surely, 2^101212504848 is an apocalyptic number.

101212504848 is a gapful number since it is divisible by the number (18) 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 101212504848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640000).

101212504848 is an abundant number, since it is smaller than the sum of its proper divisors (258972775152).

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

101212504848 is a wasteful number, since it uses less digits than its factorization.

101212504848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

Adding to 101212504848 its reverse (848405212101), we get a palindrome (949617716949).

The spelling of 101212504848 in words is "one hundred one billion, two hundred twelve million, five hundred four thousand, eight hundred forty-eight".