2151122121344 has 192 divisors, whose sum is σ = 5123209822560. Its totient is φ = 896401852416.

The previous prime is 2151122121311. The next prime is 2151122121347. The reversal of 2151122121344 is 4431212211512.

It is not an unprimeable number, because it can be changed into a prime (2151122121347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650473739 + ... + 650477045.

Almost surely, 2^{2151122121344} 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 2151122121344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2561604911280).

2151122121344 is an abundant number, since it is smaller than the sum of its proper divisors (2972087701216).

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

2151122121344 is a wasteful number, since it uses less digits than its factorization.

2151122121344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6175 (or 6156 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

Adding to 2151122121344 its reverse (4431212211512), we get a palindrome (6582334332856).

The spelling of 2151122121344 in words is "two trillion, one hundred fifty-one billion, one hundred twenty-two million, one hundred twenty-one thousand, three hundred forty-four".