101120360563044 has 135 divisors (see below), whose sum is σ = 265918858116681. Its totient is φ = 33507741121920.

The previous prime is 101120360563007. The next prime is 101120360563049. The reversal of 101120360563044 is 440365063021101.

The square root of 101120360563044 is 10055862.

It is a perfect power (a square), and thus also a powerful number.

101120360563044 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 2 + 0 + 3 + 605 + 6 + 3 + 0 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 64789593444 + 101055570969600 = 254538^2 + 10052640^2 .

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

It is not an unprimeable number, because it can be changed into a prime (101120360563049) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 32399985804 + ... + 32399988924.

Almost surely, 2^{101120360563044} is an apocalyptic number.

101120360563044 is the 10055862-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101120360563044

101120360563044 is an abundant number, since it is smaller than the sum of its proper divisors (164798497553637).

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

101120360563044 is an frugal number, since it uses more digits than its factorization.

101120360563044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6616 (or 3305 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

101120360563044 divided by its sum of digits (36) gives a square (2808898904529 = 1675977²).

The spelling of 101120360563044 in words is "one hundred one trillion, one hundred twenty billion, three hundred sixty million, five hundred sixty-three thousand, forty-four".