100101060561103 has 128 divisors (see below), whose sum is σ = 128567240294400. Its totient is φ = 75998872857600.

The previous prime is 100101060561053. The next prime is 100101060561109. The reversal of 100101060561103 is 301165060101001.

It is a de Polignac number, because none of the positive numbers 2^k-100101060561103 is a prime.

It is a super-2 number, since 2×100101060561103² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101060561109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13380702123 + ... + 13380709603.

It is an arithmetic number, because the mean of its divisors is an integer number (1004431564800).

Almost surely, 2^{100101060561103} is an apocalyptic number.

100101060561103 is a deficient number, since it is larger than the sum of its proper divisors (28466179733297).

100101060561103 is a wasteful number, since it uses less digits than its factorization.

100101060561103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8181.

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 100101060561103 in words is "one hundred trillion, one hundred one billion, sixty million, five hundred sixty-one thousand, one hundred three".