100010110000101 has 16 divisors (see below), whose sum is σ = 152412575950464. Its totient is φ = 57142552590144.

The previous prime is 100010109999973. The next prime is 100010110000169. The reversal of 100010110000101 is 101000011010001.

It is not a de Polignac number, because 100010110000101 - 2⁷ = 100010109999973 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 100010110000101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010110000201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 253201950 + ... + 253596623.

It is an arithmetic number, because the mean of its divisors is an integer number (9525785996904).

Almost surely, 2^{100010110000101} is an apocalyptic number.

It is an amenable number.

100010110000101 is a deficient number, since it is larger than the sum of its proper divisors (52402465950363).

100010110000101 is an equidigital number, since it uses as much as digits as its factorization.

100010110000101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506807980.

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

Adding to 100010110000101 its reverse (101000011010001), we get a palindrome (201010121010102).

It can be divided in two parts, 1000 and 10110000101, that added together give a palindrome (10110001101).

The spelling of 100010110000101 in words is "one hundred trillion, ten billion, one hundred ten million, one hundred one", and thus it is an aban number.