2122413110000 has 300 divisors, whose sum is σ = 5473972680528. Its totient is φ = 796781568000.

The previous prime is 2122413109991. The next prime is 2122413110009. The reversal of 2122413110000 is 113142212.

It is an interprime number because it is at equal distance from previous prime (2122413109991) and next prime (2122413110009).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2122413110009) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1320729197 + ... + 1320730803.

Almost surely, 2^{2122413110000} is an apocalyptic number.

2122413110000 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 2122413110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736986340264).

2122413110000 is an abundant number, since it is smaller than the sum of its proper divisors (3351559570528).

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

2122413110000 is a wasteful number, since it uses less digits than its factorization.

2122413110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 2122413110000 its reverse (113142212), we get a palindrome (2122526252212).

The spelling of 2122413110000 in words is "two trillion, one hundred twenty-two billion, four hundred thirteen million, one hundred ten thousand".