10220200010001 has 12 divisors (see below), whose sum is σ = 14870266683012. Its totient is φ = 6763733339136.

The previous prime is 10220200009973. The next prime is 10220200010039. The reversal of 10220200010001 is 10001000202201.

It can be written as a sum of positive squares in 2 ways, for example, as 7918680420225 + 2301519589776 = 2814015^2 + 1517076^2 .

It is not a de Polignac number, because 10220200010001 - 2⁹ = 10220200009489 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10220201010001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4144443216 + ... + 4144445681.

It is an arithmetic number, because the mean of its divisors is an integer number (1239188890251).

Almost surely, 2^{10220200010001} is an apocalyptic number.

It is an amenable number.

10220200010001 is a deficient number, since it is larger than the sum of its proper divisors (4650066673011).

10220200010001 is a wasteful number, since it uses less digits than its factorization.

10220200010001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8288889040 (or 8288889037 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10220200010001 its reverse (10001000202201), we get a palindrome (20221200212202).

The spelling of 10220200010001 in words is "ten trillion, two hundred twenty billion, two hundred million, ten thousand, one".