10020100020100 has 36 divisors (see below), whose sum is σ = 21744719447668. Its totient is φ = 4007836800000.

The previous prime is 10020100020071. The next prime is 10020100020107. The reversal of 10020100020100 is 102000102001.

It can be written as a sum of positive squares in 6 ways, for example, as 5248286955396 + 4771813064704 = 2290914^2 + 2184448^2 .

It is a super-3 number, since 3×10020100020100³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10020100020107) by changing a digit.

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, 550101 + ... + 4510300.

Almost surely, 2^{10020100020100} is an apocalyptic number.

10020100020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10020100020100 is an abundant number, since it is smaller than the sum of its proper divisors (11724619427568).

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

10020100020100 is a wasteful number, since it uses less digits than its factorization.

10020100020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5080216 (or 5080209 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10020100020100 its reverse (102000102001), we get a palindrome (10122100122101).

The spelling of 10020100020100 in words is "ten trillion, twenty billion, one hundred million, twenty thousand, one hundred".