10200200220001 has 128 divisors (see below), whose sum is σ = 12399328419840. Its totient is φ = 8292865996800.

The previous prime is 10200200219981. The next prime is 10200200220011. The reversal of 10200200220001 is 10002200200201.

It is not a de Polignac number, because 10200200220001 - 2⁷ = 10200200219873 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10200200220001.

It is not an unprimeable number, because it can be changed into a prime (10200200220011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13195601451 + ... + 13195602223.

It is an arithmetic number, because the mean of its divisors is an integer number (96869753280).

Almost surely, 2^{10200200220001} is an apocalyptic number.

10200200220001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200200220001 is a deficient number, since it is larger than the sum of its proper divisors (2199128199839).

10200200220001 is a wasteful number, since it uses less digits than its factorization.

10200200220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1327.

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10200200220001 its reverse (10002200200201), we get a palindrome (20202400420202).

The spelling of 10200200220001 in words is "ten trillion, two hundred billion, two hundred million, two hundred twenty thousand, one".