100200222101221 has 6 divisors (see below), whose sum is σ = 110137434210566. Its totient is φ = 91091111001000.

The previous prime is 100200222101179. The next prime is 100200222101233. The reversal of 100200222101221 is 122101222002001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 96286353378721 + 3913868722500 = 9812561^2 + 1978350^2 .

It is not a de Polignac number, because 100200222101221 - 2³⁷ = 100062783147749 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100200222101195 and 100200222101204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200222101251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 414050504430 + ... + 414050504671.

Almost surely, 2^{100200222101221} is an apocalyptic number.

100200222101221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100200222101221 is a deficient number, since it is larger than the sum of its proper divisors (9937212109345).

100200222101221 is an equidigital number, since it uses as much as digits as its factorization.

100200222101221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828101009123 (or 828101009112 counting only the distinct ones).

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

Adding to 100200222101221 its reverse (122101222002001), we get a palindrome (222301444103222).

The spelling of 100200222101221 in words is "one hundred trillion, two hundred billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty-one".