103023120100032 has 224 divisors, whose sum is σ = 349837868816640. Its totient is φ = 29382707957760.

The previous prime is 103023120100007. The next prime is 103023120100063. The reversal of 103023120100032 is 230001021320301.

103023120100032 is a `hidden beast` number, since 10 + 302 + 312 + 0 + 10 + 0 + 0 + 32 = 666.

It is a super-2 number, since 2×103023120100032² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103023120099978 and 103023120100014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159088258 + ... + 159734529.

Almost surely, 2^{103023120100032} is an apocalyptic number.

103023120100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103023120100032 is an abundant number, since it is smaller than the sum of its proper divisors (246814748716608).

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

103023120100032 is a wasteful number, since it uses less digits than its factorization.

103023120100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318822836 (or 318822820 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103023120100032 its reverse (230001021320301), we get a palindrome (333024141420333).

The spelling of 103023120100032 in words is "one hundred three trillion, twenty-three billion, one hundred twenty million, one hundred thousand, thirty-two".