2210212112101 has 16 divisors (see below), whose sum is σ = 2680455168000. Its totient is φ = 1781385815088.

The previous prime is 2210212112099. The next prime is 2210212112107. The reversal of 2210212112101 is 1012112120122.

It is a cyclic number.

It is not a de Polignac number, because 2210212112101 - 2¹ = 2210212112099 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 (2210212112107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 116329701 + ... + 116348698.

It is an arithmetic number, because the mean of its divisors is an integer number (167528448000).

Almost surely, 2^{2210212112101} is an apocalyptic number.

It is an amenable number.

2210212112101 is a deficient number, since it is larger than the sum of its proper divisors (470243055899).

2210212112101 is a wasteful number, since it uses less digits than its factorization.

2210212112101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232678488.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 2210212112101 its reverse (1012112120122), we get a palindrome (3222324232223).

The spelling of 2210212112101 in words is "two trillion, two hundred ten billion, two hundred twelve million, one hundred twelve thousand, one hundred one".