1012202100221 has 16 divisors (see below), whose sum is σ = 1156688972208. Its totient is φ = 877471564800.

The previous prime is 1012202100167. The next prime is 1012202100229. The reversal of 1012202100221 is 1220012022101.

It can be written as a sum of positive squares in 8 ways, for example, as 691164100 + 1011510936121 = 26290^2 + 1005739^2 .

It is not a de Polignac number, because 1012202100221 - 2³⁴ = 995022231037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1012202100196 and 1012202100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012202100229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4865690 + ... + 5069451.

It is an arithmetic number, because the mean of its divisors is an integer number (72293060763).

Almost surely, 2^{1012202100221} is an apocalyptic number.

It is an amenable number.

1012202100221 is a deficient number, since it is larger than the sum of its proper divisors (144486871987).

1012202100221 is a wasteful number, since it uses less digits than its factorization.

1012202100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9935632.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1012202100221 its reverse (1220012022101), we get a palindrome (2232214122322).

The spelling of 1012202100221 in words is "one trillion, twelve billion, two hundred two million, one hundred thousand, two hundred twenty-one".