100020011202121 has 8 divisors (see below), whose sum is σ = 105903848359944. Its totient is φ = 94136208165120.

The previous prime is 100020011202047. The next prime is 100020011202127. The reversal of 100020011202121 is 121202110020001.

It can be written as a sum of positive squares in 4 ways, for example, as 40460590826496 + 59559420375625 = 6360864^2 + 7717475^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100020011202121 - 2¹³ = 100020011193929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100020011202127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2367870 + ... + 14340391.

It is an arithmetic number, because the mean of its divisors is an integer number (13237981044993).

Almost surely, 2^{100020011202121} is an apocalyptic number.

It is an amenable number.

100020011202121 is a deficient number, since it is larger than the sum of its proper divisors (5883837157823).

100020011202121 is a wasteful number, since it uses less digits than its factorization.

100020011202121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17060411.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100020011202121 its reverse (121202110020001), we get a palindrome (221222121222122).

The spelling of 100020011202121 in words is "one hundred trillion, twenty billion, eleven million, two hundred two thousand, one hundred twenty-one".