103201032100032 has 84 divisors (see below), whose sum is σ = 297578425422096. Its totient is φ = 34194353917440.

The previous prime is 103201032100013. The next prime is 103201032100043. The reversal of 103201032100032 is 230001230102301.

103201032100032 is a `hidden beast` number, since 1 + 0 + 320 + 103 + 210 + 0 + 0 + 32 = 666.

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 = 103201032099978 and 103201032100014.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 536336319 + ... + 536528702.

It is an arithmetic number, because the mean of its divisors is an integer number (3542600302644).

Almost surely, 2^{103201032100032} is an apocalyptic number.

103201032100032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103201032100032 is an abundant number, since it is smaller than the sum of its proper divisors (194377393322064).

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

103201032100032 is a wasteful number, since it uses less digits than its factorization.

103201032100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1072865206 (or 1072865193 counting only the distinct ones).

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

Adding to 103201032100032 its reverse (230001230102301), we get a palindrome (333202262202333).

The spelling of 103201032100032 in words is "one hundred three trillion, two hundred one billion, thirty-two million, one hundred thousand, thirty-two".