10000103021200 has 60 divisors (see below), whose sum is σ = 24025583584548. Its totient is φ = 3999985254400.

The previous prime is 10000103021197. The next prime is 10000103021201. The reversal of 10000103021200 is 212030100001.

It can be written as a sum of positive squares in 6 ways, for example, as 9850959504 + 9990252061696 = 99252^2 + 3160736^2 .

It is a super-2 number, since 2×10000103021200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (10000103021201) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 39952440 + ... + 40201960.

Almost surely, 2^{10000103021200} is an apocalyptic number.

10000103021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10000103021200 is an abundant number, since it is smaller than the sum of its proper divisors (14025480563348).

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

10000103021200 is a wasteful number, since it uses less digits than its factorization.

10000103021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349732 (or 349721 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

Adding to 10000103021200 its reverse (212030100001), we get a palindrome (10212133121201).

The spelling of 10000103021200 in words is "ten trillion, one hundred three million, twenty-one thousand, two hundred".