10032100220103 has 32 divisors (see below), whose sum is σ = 15266964888000. Its totient is φ = 5804907749376.

The previous prime is 10032100220057. The next prime is 10032100220159. The reversal of 10032100220103 is 30102200123001.

It is not a de Polignac number, because 10032100220103 - 2⁶ = 10032100220039 is a prime.

It is a super-2 number, since 2×10032100220103² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032100220903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6516798 + ... + 7907771.

It is an arithmetic number, because the mean of its divisors is an integer number (477092652750).

Almost surely, 2^{10032100220103} is an apocalyptic number.

10032100220103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

10032100220103 is a deficient number, since it is larger than the sum of its proper divisors (5234864667897).

10032100220103 is a wasteful number, since it uses less digits than its factorization.

10032100220103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14425651.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10032100220103 its reverse (30102200123001), we get a palindrome (40134300343104).

The spelling of 10032100220103 in words is "ten trillion, thirty-two billion, one hundred million, two hundred twenty thousand, one hundred three".