10120400030 has 32 divisors (see below), whose sum is σ = 19700150400. Its totient is φ = 3721116672.

The previous prime is 10120400029. The next prime is 10120400047. The reversal of 10120400030 is 3000402101.

It is a happy number.

10120400030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10120399984 and 10120400020.

It is a congruent number.

It is an unprimeable number.

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, 131795 + ... + 193934.

It is an arithmetic number, because the mean of its divisors is an integer number (615629700).

Almost surely, 2^10120400030 is an apocalyptic number.

10120400030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10120400030 is a deficient number, since it is larger than the sum of its proper divisors (9579750370).

10120400030 is a wasteful number, since it uses less digits than its factorization.

10120400030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325988.

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10120400030 its reverse (3000402101), we get a palindrome (13120802131).

The spelling of 10120400030 in words is "ten billion, one hundred twenty million, four hundred thousand, thirty".