2121122122002 has 96 divisors (see below), whose sum is σ = 5120557041600. Its totient is φ = 630072971136.

The previous prime is 2121122121917. The next prime is 2121122122019. The reversal of 2121122122002 is 2002212211212.

It is a happy number.

2121122122002 is a `hidden beast` number, since 212 + 11 + 221 + 220 + 0 + 2 = 666.

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 47 ways as a sum of consecutive naturals, for example, 88063453 + ... + 88087535.

It is an arithmetic number, because the mean of its divisors is an integer number (53339135850).

Almost surely, 2^{2121122122002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121122122002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560278520800).

2121122122002 is an abundant number, since it is smaller than the sum of its proper divisors (2999434919598).

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

2121122122002 is a wasteful number, since it uses less digits than its factorization.

2121122122002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37112 (or 37109 counting only the distinct ones).

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

Adding to 2121122122002 its reverse (2002212211212), we get a palindrome (4123334333214).

The spelling of 2121122122002 in words is "two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred twenty-two thousand, two".