100200000011021 has 16 divisors (see below), whose sum is σ = 101867958265584. Its totient is φ = 98540426133504.

The previous prime is 100200000011011. The next prime is 100200000011039. The reversal of 100200000011021 is 120110000002001.

It can be written as a sum of positive squares in 8 ways, for example, as 55347738121 + 100144652272900 = 235261^2 + 10007230^2 .

It is a cyclic number.

It is not a de Polignac number, because 100200000011021 - 2¹⁴ = 100199999994637 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200000011011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34534805 + ... + 37323621.

It is an arithmetic number, because the mean of its divisors is an integer number (6366747391599).

Almost surely, 2^{100200000011021} is an apocalyptic number.

It is an amenable number.

100200000011021 is a deficient number, since it is larger than the sum of its proper divisors (1667958254563).

100200000011021 is an equidigital number, since it uses as much as digits as its factorization.

100200000011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790320.

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

Adding to 100200000011021 its reverse (120110000002001), we get a palindrome (220310000013022).

The spelling of 100200000011021 in words is "one hundred trillion, two hundred billion, eleven thousand, twenty-one".