10001210002100 has 36 divisors (see below), whose sum is σ = 21705317085900. Its totient is φ = 3999987893760.

The previous prime is 10001210002081. The next prime is 10001210002129. The reversal of 10001210002100 is 120001210001.

It can be written as a sum of positive squares in 6 ways, for example, as 1848746018596 + 8152463983504 = 1359686^2 + 2855252^2 .

It is a super-2 number, since 2×10001210002100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 5390405 + ... + 7004204.

Almost surely, 2^{10001210002100} is an apocalyptic number.

10001210002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001210002100 is an abundant number, since it is smaller than the sum of its proper divisors (11704107083800).

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

10001210002100 is a wasteful number, since it uses less digits than its factorization.

10001210002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12402692 (or 12402685 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10001210002100 its reverse (120001210001), we get a palindrome (10121211212101).

The spelling of 10001210002100 in words is "ten trillion, one billion, two hundred ten million, two thousand, one hundred".