1022102102201 has 16 divisors (see below), whose sum is σ = 1033191363600. Its totient is φ = 1011079956480.

The previous prime is 1022102102191. The next prime is 1022102102209. The reversal of 1022102102201 is 1022012012201.

1022102102201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 426048620176 + 596053482025 = 652724^2 + 772045^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022102102201 - 2¹⁰ = 1022102101177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1022102102209) 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, 49729475 + ... + 49750023.

It is an arithmetic number, because the mean of its divisors is an integer number (64574460225).

Almost surely, 2^{1022102102201} is an apocalyptic number.

It is an amenable number.

1022102102201 is a deficient number, since it is larger than the sum of its proper divisors (11089261399).

1022102102201 is a wasteful number, since it uses less digits than its factorization.

1022102102201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22156.

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

Adding to 1022102102201 its reverse (1022012012201), we get a palindrome (2044114114402).

The spelling of 1022102102201 in words is "one trillion, twenty-two billion, one hundred two million, one hundred two thousand, two hundred one".