100220141022001 has 243 divisors, whose sum is σ = 141721316537283. Its totient is φ = 70579959690240.

The previous prime is 100220141021999. The next prime is 100220141022041.

The square root of 100220141022001 is 10011001.

It is a perfect power (a square), and thus also a powerful number.

100220141022001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 13 ways, for example, as 72794768040225 + 27425372981776 = 8531985^2 + 5236924^2 .

It is not a de Polignac number, because 100220141022001 - 2¹ = 100220141021999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100220141022041) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 731533876005 + ... + 731533876141.

Almost surely, 2^{100220141022001} is an apocalyptic number.

100220141022001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100220141022001 is the 10011001-st square number.

100220141022001 is the 5005501-st centered octagonal number.

It is an amenable number.

100220141022001 is a deficient number, since it is larger than the sum of its proper divisors (41501175515282).

100220141022001 is an equidigital number, since it uses as much as digits as its factorization.

100220141022001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The spelling of 100220141022001 in words is "one hundred trillion, two hundred twenty billion, one hundred forty-one million, twenty-two thousand, one".