10212301140100 has 36 divisors (see below), whose sum is σ = 22161594262500. Its totient is φ = 4084754412160.

The previous prime is 10212301140049. The next prime is 10212301140113. The reversal of 10212301140100 is 104110321201.

It can be written as a sum of positive squares in 6 ways, for example, as 1260823562496 + 8951477577604 = 1122864^2 + 2991902^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 411726 + ... + 4538074.

It is an arithmetic number, because the mean of its divisors is an integer number (615599840625).

Almost surely, 2^{10212301140100} is an apocalyptic number.

10212301140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212301140100 is an abundant number, since it is smaller than the sum of its proper divisors (11949293122400).

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

10212301140100 is a wasteful number, since it uses less digits than its factorization.

10212301140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4151112 (or 4151105 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10212301140100 its reverse (104110321201), we get a palindrome (10316411461301).

The spelling of 10212301140100 in words is "ten trillion, two hundred twelve billion, three hundred one million, one hundred forty thousand, one hundred".