2123201213100 has 216 divisors, whose sum is σ = 7334910671088. Its totient is φ = 509408870400.

The previous prime is 2123201213099. The next prime is 2123201213213. The reversal of 2123201213100 is 13121023212.

2123201213100 is a `hidden beast` number, since 2 + 1 + 232 + 0 + 121 + 310 + 0 = 666.

It is a super-2 number, since 2×2123201213100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 145189 + ... + 2065788.

Almost surely, 2^{2123201213100} is an apocalyptic number.

2123201213100 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 2123201213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667455335544).

2123201213100 is an abundant number, since it is smaller than the sum of its proper divisors (5211709457988).

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

2123201213100 is a wasteful number, since it uses less digits than its factorization.

2123201213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211105 (or 2211095 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 2123201213100 its reverse (13121023212), we get a palindrome (2136322236312).

The spelling of 2123201213100 in words is "two trillion, one hundred twenty-three billion, two hundred one million, two hundred thirteen thousand, one hundred".