100101561220053 has 12 divisors (see below), whose sum is σ = 144591587884588. Its totient is φ = 66734169269760.

The previous prime is 100101561220051. The next prime is 100101561220123. The reversal of 100101561220053 is 350022165101001.

100101561220053 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 15 + 612 + 20 + 0 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 33712341650289 + 66389219569764 = 5806233^2 + 8147958^2 .

It is not a de Polignac number, because 100101561220053 - 2¹ = 100101561220051 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101561219999 and 100101561220026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101561220051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13948558 + ... + 19868703.

Almost surely, 2^{100101561220053} is an apocalyptic number.

It is an amenable number.

100101561220053 is a deficient number, since it is larger than the sum of its proper divisors (44490026664535).

100101561220053 is a wasteful number, since it uses less digits than its factorization.

100101561220053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34146164 (or 34146161 counting only the distinct ones).

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

The spelling of 100101561220053 in words is "one hundred trillion, one hundred one billion, five hundred sixty-one million, two hundred twenty thousand, fifty-three".