101101003030 has 32 divisors (see below), whose sum is σ = 185230955520. Its totient is φ = 39724675200.

The previous prime is 101101003027. The next prime is 101101003033. The reversal of 101101003030 is 30300101101.

101101003030 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101101003027) and next prime (101101003033).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101101002998 and 101101003016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101003033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265825 + ... + 522364.

It is an arithmetic number, because the mean of its divisors is an integer number (5788467360).

Almost surely, 2^101101003030 is an apocalyptic number.

101101003030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101101003030 is a deficient number, since it is larger than the sum of its proper divisors (84129952490).

101101003030 is a wasteful number, since it uses less digits than its factorization.

101101003030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788424.

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 101101003030 its reverse (30300101101), we get a palindrome (131401104131).

The spelling of 101101003030 in words is "one hundred one billion, one hundred one million, three thousand, thirty".