1000101101103 has 48 divisors (see below), whose sum is σ = 1595092314816. Its totient is φ = 599895175680.

The previous prime is 1000101101081. The next prime is 1000101101117. The reversal of 1000101101103 is 3011011010001.

It is not a de Polignac number, because 1000101101103 - 2⁹ = 1000101100591 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000101101173) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5264926 + ... + 5451572.

It is an arithmetic number, because the mean of its divisors is an integer number (33231089892).

Almost surely, 2^{1000101101103} is an apocalyptic number.

1000101101103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1000101101103 is a deficient number, since it is larger than the sum of its proper divisors (594991213713).

1000101101103 is a wasteful number, since it uses less digits than its factorization.

1000101101103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187824 (or 187821 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 1000101101103 its reverse (3011011010001), we get a palindrome (4011112111104).

The spelling of 1000101101103 in words is "one trillion, one hundred one million, one hundred one thousand, one hundred three".