1010011100103 has 48 divisors (see below), whose sum is σ = 1484631102240. Its totient is φ = 661571463168.

The previous prime is 1010011100057. The next prime is 1010011100117. The reversal of 1010011100103 is 3010011100101.

It is not a de Polignac number, because 1010011100103 - 2⁶ = 1010011100039 is a prime.

It is a super-2 number, since 2×1010011100103² (a number of 25 digits) contains 22 as substring.

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 (1010011100303) 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, 143118351 + ... + 143125407.

It is an arithmetic number, because the mean of its divisors is an integer number (30929814630).

Almost surely, 2^{1010011100103} is an apocalyptic number.

1010011100103 is a deficient number, since it is larger than the sum of its proper divisors (474620002137).

1010011100103 is a wasteful number, since it uses less digits than its factorization.

1010011100103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8256 (or 8253 counting only the distinct ones).

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

Adding to 1010011100103 its reverse (3010011100101), we get a palindrome (4020022200204).

The spelling of 1010011100103 in words is "one trillion, ten billion, eleven million, one hundred thousand, one hundred three".