2102212122012 has 144 divisors (see below), whose sum is σ = 5585987534400. Its totient is φ = 665318016000.

The previous prime is 2102212122011. The next prime is 2102212122037.

It is a happy number.

2102212122012 is a `hidden beast` number, since 210 + 221 + 2 + 1 + 220 + 12 = 666.

2102212122012 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2102212122011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212318262 + ... + 212328162.

It is an arithmetic number, because the mean of its divisors is an integer number (38791580100).

Almost surely, 2^{2102212122012} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102212122012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792993767200).

2102212122012 is an abundant number, since it is smaller than the sum of its proper divisors (3483775412388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2102212122012 is a wasteful number, since it uses less digits than its factorization.

2102212122012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11804 (or 11799 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 2102212122012 in words is "two trillion, one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, twelve".