100200002022221 has 48 divisors (see below), whose sum is σ = 114147691220160. Its totient is φ = 87408573811200.

The previous prime is 100200002022199. The next prime is 100200002022233. The reversal of 100200002022221 is 122220200002001.

It is not a de Polignac number, because 100200002022221 - 2¹⁸ = 100200001760077 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100200002022196 and 100200002022205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200002021221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1999935071 + ... + 1999985171.

It is an arithmetic number, because the mean of its divisors is an integer number (2378076900420).

Almost surely, 2^{100200002022221} is an apocalyptic number.

It is an amenable number.

100200002022221 is a deficient number, since it is larger than the sum of its proper divisors (13947689197939).

100200002022221 is a wasteful number, since it uses less digits than its factorization.

100200002022221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53034 (or 52987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 100200002022221 its reverse (122220200002001), we get a palindrome (222420202024222).

The spelling of 100200002022221 in words is "one hundred trillion, two hundred billion, two million, twenty-two thousand, two hundred twenty-one".