2112122122002 has 24 divisors (see below), whose sum is σ = 4623442587036. Its totient is φ = 696782555136.

The previous prime is 2112122121983. The next prime is 2112122122037. The reversal of 2112122122002 is 2002212212112.

It is a happy number.

2112122122002 is a `hidden beast` number, since 211 + 212 + 21 + 220 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2110805085321 + 1317036681 = 1452861^2 + 36291^2 .

It is a super-2 number, since 2×2112122122002² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 604844223 + ... + 604847714.

Almost surely, 2^{2112122122002} is an apocalyptic number.

2112122122002 is an abundant number, since it is smaller than the sum of its proper divisors (2511320465034).

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

2112122122002 is a wasteful number, since it uses less digits than its factorization.

2112122122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1209692042 (or 1209692039 counting only the distinct ones).

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

Adding to 2112122122002 its reverse (2002212212112), we get a palindrome (4114334334114).

The spelling of 2112122122002 in words is "two trillion, one hundred twelve billion, one hundred twenty-two million, one hundred twenty-two thousand, two".