10200111100201 has 4 divisors (see below), whose sum is σ = 11127393927504. Its totient is φ = 9272828272900.

The previous prime is 10200111100093. The next prime is 10200111100213.

10200111100201 is nontrivially palindromic in base 10.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 10200111100201 - 2¹¹ = 10200111098153 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10200111106201) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 463641413635 + ... + 463641413656.

It is an arithmetic number, because the mean of its divisors is an integer number (2781848481876).

Almost surely, 2^{10200111100201} is an apocalyptic number.

10200111100201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10200111100201 is a deficient number, since it is larger than the sum of its proper divisors (927282827303).

10200111100201 is an equidigital number, since it uses as much as digits as its factorization.

10200111100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927282827302.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 1020011 and 1100201, that multiplied together give a palindrome (1122217122211).

The spelling of 10200111100201 in words is "ten trillion, two hundred billion, one hundred eleven million, one hundred thousand, two hundred one".