1000011100101 has 32 divisors (see below), whose sum is σ = 1450427596800. Its totient is φ = 609173568000.

The previous prime is 1000011100091. The next prime is 1000011100139. The reversal of 1000011100101 is 1010011100001.

It is not a de Polignac number, because 1000011100101 - 2¹⁵ = 1000011067333 is a prime.

It is a super-5 number, since 5×1000011100101⁵ (a number of 61 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000011100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000011100801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21440316 + ... + 21486906.

It is an arithmetic number, because the mean of its divisors is an integer number (45325862400).

Almost surely, 2^{1000011100101} is an apocalyptic number.

It is an amenable number.

1000011100101 is a deficient number, since it is larger than the sum of its proper divisors (450416496699).

1000011100101 is a wasteful number, since it uses less digits than its factorization.

1000011100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52157.

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

Adding to 1000011100101 its reverse (1010011100001), we get a palindrome (2010022200102).

The spelling of 1000011100101 in words is "one trillion, eleven million, one hundred thousand, one hundred one".