100120200000021 has 12 divisors (see below), whose sum is σ = 153125011764972. Its totient is φ = 62820517646976.

The previous prime is 100120199999971. The next prime is 100120200000049. The reversal of 100120200000021 is 120000002021001.

It can be written as a sum of positive squares in 2 ways, for example, as 46939133273796 + 53181066726225 = 6851214^2 + 7292535^2 .

It is not a de Polignac number, because 100120200000021 - 2¹⁰ = 100120199998997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100120199999949 and 100120200000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120200000071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 327190195926 + ... + 327190196231.

It is an arithmetic number, because the mean of its divisors is an integer number (12760417647081).

Almost surely, 2^{100120200000021} is an apocalyptic number.

It is an amenable number.

100120200000021 is a deficient number, since it is larger than the sum of its proper divisors (53004811764951).

100120200000021 is a wasteful number, since it uses less digits than its factorization.

100120200000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654380392180 (or 654380392177 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100120200000021 its reverse (120000002021001), we get a palindrome (220120202021022).

The spelling of 100120200000021 in words is "one hundred trillion, one hundred twenty billion, two hundred million, twenty-one", and thus it is an aban number.