10100220220201 has 4 divisors (see below), whose sum is σ = 10448503676100. Its totient is φ = 9751936764304.

The previous prime is 10100220220193. The next prime is 10100220220229. The reversal of 10100220220201 is 10202202200101.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 2622861225625 + 7477358994576 = 1619525^2 + 2734476^2 .

It is a cyclic number.

It is not a de Polignac number, because 10100220220201 - 2³ = 10100220220193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100220220261) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 174141727906 + ... + 174141727963.

It is an arithmetic number, because the mean of its divisors is an integer number (2612125919025).

Almost surely, 2^{10100220220201} is an apocalyptic number.

It is an amenable number.

10100220220201 is a deficient number, since it is larger than the sum of its proper divisors (348283455899).

10100220220201 is an equidigital number, since it uses as much as digits as its factorization.

10100220220201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348283455898.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 10100220220201 its reverse (10202202200101), we get a palindrome (20302422420302).

The spelling of 10100220220201 in words is "ten trillion, one hundred billion, two hundred twenty million, two hundred twenty thousand, two hundred one".