2122102012212 has 288 divisors, whose sum is σ = 6672732079104. Its totient is φ = 553696128000.

The previous prime is 2122102012211. The next prime is 2122102012223.

It is a happy number.

2122102012212 is a `hidden beast` number, since 21 + 221 + 0 + 201 + 221 + 2 = 666.

2122102012212 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 (2122102012211) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 809652262 + ... + 809654882.

It is an arithmetic number, because the mean of its divisors is an integer number (23169208608).

Almost surely, 2^{2122102012212} 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 2122102012212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336366039552).

2122102012212 is an abundant number, since it is smaller than the sum of its proper divisors (4550630066892).

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

2122102012212 is a wasteful number, since it uses less digits than its factorization.

2122102012212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5199 (or 5194 counting only the distinct ones).

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

The spelling of 2122102012212 in words is "two trillion, one hundred twenty-two billion, one hundred two million, twelve thousand, two hundred twelve".