10100021000200 has 48 divisors (see below), whose sum is σ = 23486248072980. Its totient is φ = 4039371970560.

The previous prime is 10100021000183. The next prime is 10100021000203. The reversal of 10100021000200 is 200012000101.

It can be written as a sum of positive squares in 6 ways, for example, as 1338172358436 + 8761848641764 = 1156794^2 + 2960042^2 .

It is not an unprimeable number, because it can be changed into a prime (10100021000203) 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, 2703909 + ... + 5245108.

Almost surely, 2^{10100021000200} is an apocalyptic number.

10100021000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100021000200 is an abundant number, since it is smaller than the sum of its proper divisors (13386227072780).

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

10100021000200 is a wasteful number, since it uses less digits than its factorization.

10100021000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7955386 (or 7955377 counting only the distinct ones).

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

Adding to 10100021000200 its reverse (200012000101), we get a palindrome (10300033000301).

Subtracting from 10100021000200 its reverse (200012000101), we obtain a palindrome (9900009000099).

The spelling of 10100021000200 in words is "ten trillion, one hundred billion, twenty-one million, two hundred", and thus it is an aban number.