101231682552 has 512 divisors, whose sum is σ = 399777638400. Its totient is φ = 22842777600.

The previous prime is 101231682547. The next prime is 101231682553. The reversal of 101231682552 is 255286132101.

101231682552 is a `hidden beast` number, since 1 + 0 + 1 + 23 + 1 + 6 + 82 + 552 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101231682553) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3661902 + ... + 3689442.

It is an arithmetic number, because the mean of its divisors is an integer number (780815700).

Almost surely, 2^101231682552 is an apocalyptic number.

101231682552 is a gapful number since it is divisible by the number (12) 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 101231682552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199888819200).

101231682552 is an abundant number, since it is smaller than the sum of its proper divisors (298545955848).

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

101231682552 is a wasteful number, since it uses less digits than its factorization.

101231682552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27604 (or 27594 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

101231682552 divided by its sum of digits (36) gives a palindrome (2811991182).

The spelling of 101231682552 in words is "one hundred one billion, two hundred thirty-one million, six hundred eighty-two thousand, five hundred fifty-two".