2124963242100 has 216 divisors, whose sum is σ = 6911661687840. Its totient is φ = 566296375680.

The previous prime is 2124963242099. The next prime is 2124963242123. The reversal of 2124963242100 is 12423694212.

It is a happy number.

2124963242100 is a `hidden beast` number, since 2 + 1 + 2 + 4 + 9 + 632 + 4 + 2 + 10 + 0 = 666.

It is a super-2 number, since 2×2124963242100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 39314694 + ... + 39368706.

It is an arithmetic number, because the mean of its divisors is an integer number (31998433740).

Almost surely, 2^{2124963242100} is an apocalyptic number.

2124963242100 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 2124963242100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455830843920).

2124963242100 is an abundant number, since it is smaller than the sum of its proper divisors (4786698445740).

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

2124963242100 is a wasteful number, since it uses less digits than its factorization.

2124963242100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55661 (or 55642 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2124963242100 in words is "two trillion, one hundred twenty-four billion, nine hundred sixty-three million, two hundred forty-two thousand, one hundred".