10211101112201 has 8 divisors (see below), whose sum is σ = 11139531691008. Its totient is φ = 9282695310000.

The previous prime is 10211101112143. The next prime is 10211101112209. The reversal of 10211101112201 is 10221110111201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10211101112201 - 2²² = 10211096917897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10211101112209) 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 7 ways as a sum of consecutive naturals, for example, 5327150 + ... + 6985751.

It is an arithmetic number, because the mean of its divisors is an integer number (1392441461376).

Almost surely, 2^{10211101112201} is an apocalyptic number.

10211101112201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10211101112201 is a deficient number, since it is larger than the sum of its proper divisors (928430578807).

10211101112201 is a wasteful number, since it uses less digits than its factorization.

10211101112201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12388303.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10211101112201 its reverse (10221110111201), we get a palindrome (20432211223402).

The spelling of 10211101112201 in words is "ten trillion, two hundred eleven billion, one hundred one million, one hundred twelve thousand, two hundred one".