10200201122111 has 48 divisors (see below), whose sum is σ = 13979428491168. Its totient is φ = 7316022067200.

The previous prime is 10200201122011. The next prime is 10200201122171. The reversal of 10200201122111 is 11122110200201.

It is not a de Polignac number, because 10200201122111 - 2²⁶ = 10200134013247 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10200201122171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 411551 + ... + 4535391.

It is an arithmetic number, because the mean of its divisors is an integer number (291238093566).

Almost surely, 2^{10200201122111} is an apocalyptic number.

10200201122111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10200201122111 is a deficient number, since it is larger than the sum of its proper divisors (3779227369057).

10200201122111 is a wasteful number, since it uses less digits than its factorization.

10200201122111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124232 (or 4124225 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10200201122111 its reverse (11122110200201), we get a palindrome (21322311322312).

The spelling of 10200201122111 in words is "ten trillion, two hundred billion, two hundred one million, one hundred twenty-two thousand, one hundred eleven".