100101001010101 has 32 divisors (see below), whose sum is σ = 123393104126208. Its totient is φ = 79077533783040.

The previous prime is 100101001010081. The next prime is 100101001010119. The reversal of 100101001010101 is 101010100101001.

It is a happy number.

It is not a de Polignac number, because 100101001010101 - 2¹⁵ = 100101000977333 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

100101001010101 is a modest number, since divided by 1010101 gives 1001010 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101001014101) 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, 164001981 + ... + 164611213.

It is an arithmetic number, because the mean of its divisors is an integer number (3856034503944).

Almost surely, 2^{100101001010101} is an apocalyptic number.

It is an amenable number.

100101001010101 is a deficient number, since it is larger than the sum of its proper divisors (23292103116107).

100101001010101 is a wasteful number, since it uses less digits than its factorization.

100101001010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612061.

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 100101001010101 its reverse (101010100101001), we get a palindrome (201111101111102).

The spelling of 100101001010101 in words is "one hundred trillion, one hundred one billion, one million, ten thousand, one hundred one".