10202122222101 has 12 divisors (see below), whose sum is σ = 14740973907660. Its totient is φ = 6799303210560.

The previous prime is 10202122222091. The next prime is 10202122222121. The reversal of 10202122222101 is 10122222120201.

It is a happy number.

10202122222101 is a `hidden beast` number, since 1 + 0 + 20 + 212 + 222 + 210 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3543523880625 + 6658598341476 = 1882425^2 + 2580426^2 .

It is not a de Polignac number, because 10202122222101 - 2¹⁹ = 10202121697813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202122222121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 175936416 + ... + 175994393.

It is an arithmetic number, because the mean of its divisors is an integer number (1228414492305).

Almost surely, 2^{10202122222101} is an apocalyptic number.

It is an amenable number.

10202122222101 is a deficient number, since it is larger than the sum of its proper divisors (4538851685559).

10202122222101 is a wasteful number, since it uses less digits than its factorization.

10202122222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351934036 (or 351934033 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 10202122222101 its reverse (10122222120201), we get a palindrome (20324344342302).

The spelling of 10202122222101 in words is "ten trillion, two hundred two billion, one hundred twenty-two million, two hundred twenty-two thousand, one hundred one".