2112212010101 has 32 divisors (see below), whose sum is σ = 2247187857408. Its totient is φ = 1981159044480.

The previous prime is 2112212010089. The next prime is 2112212010109. The reversal of 2112212010101 is 1010102122112.

It is not a de Polignac number, because 2112212010101 - 2¹⁰ = 2112212009077 is a prime.

It is a super-3 number, since 3×2112212010101³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112212010109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 413588990 + ... + 413594096.

It is an arithmetic number, because the mean of its divisors is an integer number (70224620544).

Almost surely, 2^{2112212010101} is an apocalyptic number.

It is an amenable number.

2112212010101 is a deficient number, since it is larger than the sum of its proper divisors (134975847307).

2112212010101 is a wasteful number, since it uses less digits than its factorization.

2112212010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6521.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2112212010101 its reverse (1010102122112), we get a palindrome (3122314132213).

The spelling of 2112212010101 in words is "two trillion, one hundred twelve billion, two hundred twelve million, ten thousand, one hundred one".