100101010000101 has 24 divisors (see below), whose sum is σ = 146728512551040. Its totient is φ = 60657353137920.

The previous prime is 100101010000091. The next prime is 100101010000111. The reversal of 100101010000101 is 101000010101001.

It is an interprime number because it is at equal distance from previous prime (100101010000091) and next prime (100101010000111).

It is not a de Polignac number, because 100101010000101 - 2⁷ = 100101009999973 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100101010000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101010000111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20336221 + ... + 24774258.

It is an arithmetic number, because the mean of its divisors is an integer number (6113688022960).

Almost surely, 2^{100101010000101} is an apocalyptic number.

100101010000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100101010000101 is a deficient number, since it is larger than the sum of its proper divisors (46627502550939).

100101010000101 is a wasteful number, since it uses less digits than its factorization.

100101010000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45116617 (or 45116606 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 100101010000101 its reverse (101000010101001), we get a palindrome (201101020101102).

The spelling of 100101010000101 in words is "one hundred trillion, one hundred one billion, ten million, one hundred one", and thus it is an aban number.