2121625611300 has 216 divisors, whose sum is σ = 6746311812576. Its totient is φ = 514450759680.

The previous prime is 2121625611253. The next prime is 2121625611307. The reversal of 2121625611300 is 31165261212.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2121625611307) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3084612 + ... + 3709188.

Almost surely, 2^{2121625611300} is an apocalyptic number.

2121625611300 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 2121625611300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3373155906288).

2121625611300 is an abundant number, since it is smaller than the sum of its proper divisors (4624686201276).

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

2121625611300 is a wasteful number, since it uses less digits than its factorization.

2121625611300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624687 (or 624667 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 2121625611300 in words is "two trillion, one hundred twenty-one billion, six hundred twenty-five million, six hundred eleven thousand, three hundred".