100020211221001 has 4 divisors (see below), whose sum is σ = 100186634202004. Its totient is φ = 99853788240000.

The previous prime is 100020211220989. The next prime is 100020211221011. The reversal of 100020211221001 is 100122112020001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 84176221057600 + 15843990163401 = 9174760^2 + 3980451^2 .

It is a cyclic number.

It is not a de Polignac number, because 100020211221001 - 2¹³ = 100020211212809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100020211221011) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83211489600 + ... + 83211490801.

It is an arithmetic number, because the mean of its divisors is an integer number (25046658550501).

Almost surely, 2^{100020211221001} is an apocalyptic number.

It is an amenable number.

100020211221001 is a deficient number, since it is larger than the sum of its proper divisors (166422981003).

100020211221001 is an equidigital number, since it uses as much as digits as its factorization.

100020211221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166422981002.

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

Adding to 100020211221001 its reverse (100122112020001), we get a palindrome (200142323241002).

The spelling of 100020211221001 in words is "one hundred trillion, twenty billion, two hundred eleven million, two hundred twenty-one thousand, one".