30103020100032 has 224 divisors, whose sum is σ = 88430256935424. Its totient is φ = 8961166233600.

The previous prime is 30103020100019. The next prime is 30103020100067. The reversal of 30103020100032 is 23000102030103.

It is a junction number, because it is equal to n+sod(n) for n = 30103020099984 and 30103020100020.

It is a congruent number.

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, 41174338 + ... + 41899070.

Almost surely, 2^{30103020100032} is an apocalyptic number.

30103020100032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30103020100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44215128467712).

30103020100032 is an abundant number, since it is smaller than the sum of its proper divisors (58327236835392).

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

30103020100032 is a wasteful number, since it uses less digits than its factorization.

30103020100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725107 (or 725097 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 30103020100032 its reverse (23000102030103), we get a palindrome (53103122130135).

The spelling of 30103020100032 in words is "thirty trillion, one hundred three billion, twenty million, one hundred thousand, thirty-two".