2100122424240 has 160 divisors (see below), whose sum is σ = 6720282106560. Its totient is φ = 542130204672.

The previous prime is 2100122424233. The next prime is 2100122424269. The reversal of 2100122424240 is 424242210012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2100122424240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1149106 + ... + 2349614.

It is an arithmetic number, because the mean of its divisors is an integer number (42001763166).

Almost surely, 2^{2100122424240} is an apocalyptic number.

2100122424240 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 2100122424240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3360141053280).

2100122424240 is an abundant number, since it is smaller than the sum of its proper divisors (4620159682320).

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

2100122424240 is a wasteful number, since it uses less digits than its factorization.

2100122424240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1200759 (or 1200753 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 2100122424240 its reverse (424242210012), we get a palindrome (2524364634252).

The spelling of 2100122424240 in words is "two trillion, one hundred billion, one hundred twenty-two million, four hundred twenty-four thousand, two hundred forty".