101103103101 has 96 divisors (see below), whose sum is σ = 182485997568. Its totient is φ = 48083374080.

The previous prime is 101103103033. The next prime is 101103103111. The reversal of 101103103101 is 101301301101.

It is not a de Polignac number, because 101103103101 - 2⁷ = 101103102973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101103103111) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225173725 + ... + 225174173.

It is an arithmetic number, because the mean of its divisors is an integer number (1900895808).

Almost surely, 2^101103103101 is an apocalyptic number.

101103103101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101103103101 is a deficient number, since it is larger than the sum of its proper divisors (81382894467).

101103103101 is a wasteful number, since it uses less digits than its factorization.

101103103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 101103103101 its reverse (101301301101), we get a palindrome (202404404202).

The spelling of 101103103101 in words is "one hundred one billion, one hundred three million, one hundred three thousand, one hundred one".