10200122220211 has 32 divisors (see below), whose sum is σ = 12844716788736. Its totient is φ = 7868368080000.

The previous prime is 10200122220187. The next prime is 10200122220229. The reversal of 10200122220211 is 11202222100201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10200122220211 - 2⁷ = 10200122220083 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10200122220511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58808626 + ... + 58981816.

It is an arithmetic number, because the mean of its divisors is an integer number (401397399648).

Almost surely, 2^{10200122220211} is an apocalyptic number.

10200122220211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10200122220211 is a deficient number, since it is larger than the sum of its proper divisors (2644594568525).

10200122220211 is a wasteful number, since it uses less digits than its factorization.

10200122220211 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180883.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10200122220211 its reverse (11202222100201), we get a palindrome (21402344320412).

The spelling of 10200122220211 in words is "ten trillion, two hundred billion, one hundred twenty-two million, two hundred twenty thousand, two hundred eleven".