2134223102000 has 320 divisors, whose sum is σ = 5788945483776. Its totient is φ = 754272000000.

The previous prime is 2134223101981. The next prime is 2134223102003. The reversal of 2134223102000 is 2013224312.

It is a super-2 number, since 2×2134223102000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2134223102003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 244437635 + ... + 244446365.

Almost surely, 2^{2134223102000} is an apocalyptic number.

2134223102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134223102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2894472741888).

2134223102000 is an abundant number, since it is smaller than the sum of its proper divisors (3654722381776).

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

2134223102000 is a wasteful number, since it uses less digits than its factorization.

2134223102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9077 (or 9061 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 2134223102000 its reverse (2013224312), we get a palindrome (2136236326312).

The spelling of 2134223102000 in words is "two trillion, one hundred thirty-four billion, two hundred twenty-three million, one hundred two thousand".