100022021212201 has 27 divisors (see below), whose sum is σ = 110393111924823. Its totient is φ = 90557169246720.

The previous prime is 100022021212193. The next prime is 100022021212229. The reversal of 100022021212201 is 102212120220001.

It is a happy number.

The square root of 100022021212201 is 10001101.

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

It can be written as a sum of positive squares in only one way, i.e., 1441428354025 + 98580592858176 = 1200595^2 + 9928776^2 .

It is not a de Polignac number, because 100022021212201 - 2³ = 100022021212193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100022021212501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28933183465 + ... + 28933186921.

Almost surely, 2^{100022021212201} is an apocalyptic number.

100022021212201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100022021212201 is the 10001101-st square number.

100022021212201 is the 5000551-st centered octagonal number.

It is an amenable number.

100022021212201 is a deficient number, since it is larger than the sum of its proper divisors (10371090712622).

100022021212201 is an frugal number, since it uses more digits than its factorization.

100022021212201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7462 (or 3731 counting only the distinct ones).

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

Adding to 100022021212201 its reverse (102212120220001), we get a palindrome (202234141432202).

The spelling of 100022021212201 in words is "one hundred trillion, twenty-two billion, twenty-one million, two hundred twelve thousand, two hundred one".