100561211352 has 192 divisors, whose sum is σ = 319141892160. Its totient is φ = 28005580800.

The previous prime is 100561211323. The next prime is 100561211353. The reversal of 100561211352 is 253112165001.

100561211352 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 612 + 11 + 35 + 2 = 666.

It is a super-2 number, since 2×100561211352² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100561211353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44240488 + ... + 44242760.

It is an arithmetic number, because the mean of its divisors is an integer number (1662197355).

Almost surely, 2^100561211352 is an apocalyptic number.

100561211352 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 100561211352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159570946080).

100561211352 is an abundant number, since it is smaller than the sum of its proper divisors (218580680808).

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

100561211352 is a wasteful number, since it uses less digits than its factorization.

100561211352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4474 (or 4467 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 100561211352 its reverse (253112165001), we get a palindrome (353673376353).

The spelling of 100561211352 in words is "one hundred billion, five hundred sixty-one million, two hundred eleven thousand, three hundred fifty-two".