101103133100 has 36 divisors (see below), whose sum is σ = 219430059744. Its totient is φ = 40434569280.

The previous prime is 101103133093. The next prime is 101103133111. The reversal of 101103133100 is 1331301101.

It is a happy number.

101103133100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101103133100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 548294 + ... + 709106.

Almost surely, 2^101103133100 is an apocalyptic number.

101103133100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101103133100 is an abundant number, since it is smaller than the sum of its proper divisors (118326926644).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101103133100 is a wasteful number, since it uses less digits than its factorization.

101103133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167114 (or 167107 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 101103133100 its reverse (1331301101), we get a palindrome (102434434201).

The spelling of 101103133100 in words is "one hundred one billion, one hundred three million, one hundred thirty-three thousand, one hundred".