2112211102101 has 8 divisors (see below), whose sum is σ = 2837779801824. Its totient is φ = 1397391568560.

The previous prime is 2112211102069. The next prime is 2112211102151. The reversal of 2112211102101 is 1012011122112.

It is a happy number.

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

It is not a de Polignac number, because 2112211102101 - 2⁵ = 2112211102069 is a prime.

It is a super-2 number, since 2×2112211102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112211102151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2687291086 + ... + 2687291871.

It is an arithmetic number, because the mean of its divisors is an integer number (354722475228).

Almost surely, 2^{2112211102101} is an apocalyptic number.

It is an amenable number.

2112211102101 is a deficient number, since it is larger than the sum of its proper divisors (725568699723).

2112211102101 is a wasteful number, since it uses less digits than its factorization.

2112211102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5374583091.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2112211102101 its reverse (1012011122112), we get a palindrome (3124222224213).

The spelling of 2112211102101 in words is "two trillion, one hundred twelve billion, two hundred eleven million, one hundred two thousand, one hundred one".