101100075552 has 216 divisors, whose sum is σ = 352045839600. Its totient is φ = 27365361408.

The previous prime is 101100075509. The next prime is 101100075581. The reversal of 101100075552 is 255570001101.

101100075552 is a `hidden beast` number, since 1 + 0 + 1 + 100 + 0 + 7 + 5 + 552 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79599 + ... + 456657.

It is an arithmetic number, because the mean of its divisors is an integer number (1629841850).

Almost surely, 2^101100075552 is an apocalyptic number.

101100075552 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 101100075552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176022919800).

101100075552 is an abundant number, since it is smaller than the sum of its proper divisors (250945764048).

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

101100075552 is a wasteful number, since it uses less digits than its factorization.

101100075552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377108 (or 377090 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 27.

Adding to 101100075552 its reverse (255570001101), we get a palindrome (356670076653).

The spelling of 101100075552 in words is "one hundred one billion, one hundred million, seventy-five thousand, five hundred fifty-two".