10100011103 has 16 divisors (see below), whose sum is σ = 12440440320. Its totient is φ = 7985009376.

The previous prime is 10100011093. The next prime is 10100011147. The reversal of 10100011103 is 30111000101.

It is a cyclic number.

It is not a de Polignac number, because 10100011103 - 2¹² = 10100007007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011153) 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, 76478 + ... + 161396.

It is an arithmetic number, because the mean of its divisors is an integer number (777527520).

Almost surely, 2^10100011103 is an apocalyptic number.

10100011103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10100011103 is a deficient number, since it is larger than the sum of its proper divisors (2340429217).

10100011103 is a wasteful number, since it uses less digits than its factorization.

10100011103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86246.

The product of its (nonzero) digits is 3, while the sum is 8.

Adding to 10100011103 its reverse (30111000101), we get a palindrome (40211011204).

The spelling of 10100011103 in words is "ten billion, one hundred million, eleven thousand, one hundred three".