101100920544 has 288 divisors, whose sum is σ = 319478533920. Its totient is φ = 30125592576.

The previous prime is 101100920533. The next prime is 101100920579. The reversal of 101100920544 is 445029001101.

101100920544 is a `hidden beast` number, since 1 + 0 + 110 + 0 + 9 + 2 + 0 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×101100920544² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31721319 + ... + 31724505.

It is an arithmetic number, because the mean of its divisors is an integer number (1109300465).

Almost surely, 2^101100920544 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 101100920544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159739266960).

101100920544 is an abundant number, since it is smaller than the sum of its proper divisors (218377613376).

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

101100920544 is a wasteful number, since it uses less digits than its factorization.

101100920544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3482 (or 3471 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 101100920544 its reverse (445029001101), we get a palindrome (546129921645).

The spelling of 101100920544 in words is "one hundred one billion, one hundred million, nine hundred twenty thousand, five hundred forty-four".