2142244323100 has 432 divisors, whose sum is σ = 5680452365280. Its totient is φ = 698306918400.

The previous prime is 2142244323091. The next prime is 2142244323137. The reversal of 2142244323100 is 13234422412.

It is a super-2 number, since 2×2142244323100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2922570334 + ... + 2922571066.

It is an arithmetic number, because the mean of its divisors is an integer number (13149195290).

Almost surely, 2^{2142244323100} is an apocalyptic number.

2142244323100 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 2142244323100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2840226182640).

2142244323100 is an abundant number, since it is smaller than the sum of its proper divisors (3538208042180).

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

2142244323100 is a wasteful number, since it uses less digits than its factorization.

2142244323100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078 (or 1064 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 2142244323100 its reverse (13234422412), we get a palindrome (2155478745512).

The spelling of 2142244323100 in words is "two trillion, one hundred forty-two billion, two hundred forty-four million, three hundred twenty-three thousand, one hundred".