2112121100101 has 6 divisors (see below), whose sum is σ = 2243671895570. Its totient is φ = 1987878682176.

The previous prime is 2112121100053. The next prime is 2112121100119. The reversal of 2112121100101 is 1010011212112.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 314507856100 + 1797613244001 = 560810^2 + 1340751^2 .

It is not a de Polignac number, because 2112121100101 - 2⁷ = 2112121099973 is a prime.

It is a super-2 number, since 2×2112121100101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112121100171) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3654188466 + ... + 3654189043.

Almost surely, 2^{2112121100101} is an apocalyptic number.

It is an amenable number.

2112121100101 is a deficient number, since it is larger than the sum of its proper divisors (131550795469).

2112121100101 is an equidigital number, since it uses as much as digits as its factorization.

2112121100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7308377543 (or 7308377526 counting only the distinct ones).

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

Adding to 2112121100101 its reverse (1010011212112), we get a palindrome (3122132312213).

The spelling of 2112121100101 in words is "two trillion, one hundred twelve billion, one hundred twenty-one million, one hundred thousand, one hundred one".