100121021022221 has 8 divisors (see below), whose sum is σ = 100143466025400. Its totient is φ = 100098576691200.

The previous prime is 100121021022181. The next prime is 100121021022271. The reversal of 100121021022221 is 122220120121001.

It can be written as a sum of positive squares in 4 ways, for example, as 27315570544900 + 72805450477321 = 5226430^2 + 8532611^2 .

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 100121021022221 - 2⁴² = 95722974511117 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100121021022221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121021022271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 405604325 + ... + 405851093.

It is an arithmetic number, because the mean of its divisors is an integer number (12517933253175).

Almost surely, 2^{100121021022221} is an apocalyptic number.

It is an amenable number.

100121021022221 is a deficient number, since it is larger than the sum of its proper divisors (22445003179).

100121021022221 is an equidigital number, since it uses as much as digits as its factorization.

100121021022221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336079.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100121021022221 its reverse (122220120121001), we get a palindrome (222341141143222).

The spelling of 100121021022221 in words is "one hundred trillion, one hundred twenty-one billion, twenty-one million, twenty-two thousand, two hundred twenty-one".