2211112100101 has 8 divisors (see below), whose sum is σ = 2343379961664. Its totient is φ = 2079088954560.

The previous prime is 2211112100081. The next prime is 2211112100117. The reversal of 2211112100101 is 1010012111122.

It is a happy number.

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 2211112100101 - 2⁵ = 2211112100069 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211112100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61160395 + ... + 61196536.

It is an arithmetic number, because the mean of its divisors is an integer number (292922495208).

Almost surely, 2^{2211112100101} is an apocalyptic number.

It is an amenable number.

2211112100101 is a deficient number, since it is larger than the sum of its proper divisors (132267861563).

2211112100101 is a wasteful number, since it uses less digits than its factorization.

2211112100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122358011.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2211112100101 its reverse (1010012111122), we get a palindrome (3221124211223).

The spelling of 2211112100101 in words is "two trillion, two hundred eleven billion, one hundred twelve million, one hundred thousand, one hundred one".