100101006100101 has 32 divisors (see below), whose sum is σ = 137135754806400. Its totient is φ = 64910006784000.

The previous prime is 100101006100079. The next prime is 100101006100159. The reversal of 100101006100101 is 101001600101001.

It is not a de Polignac number, because 100101006100101 - 2³⁴ = 100083826230917 is a prime.

It is a super-2 number, since 2×100101006100101² (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 (100101006100181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 290142901 + ... + 290487701.

It is an arithmetic number, because the mean of its divisors is an integer number (4285492337700).

Almost surely, 2^{100101006100101} is an apocalyptic number.

It is an amenable number.

100101006100101 is a deficient number, since it is larger than the sum of its proper divisors (37034748706299).

100101006100101 is a wasteful number, since it uses less digits than its factorization.

100101006100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351957.

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 100101006100101 its reverse (101001600101001), we get a palindrome (201102606201102).

The spelling of 100101006100101 in words is "one hundred trillion, one hundred one billion, six million, one hundred thousand, one hundred one".