2145661012300 has 144 divisors (see below), whose sum is σ = 5073012806400. Its totient is φ = 782967398400.

The previous prime is 2145661012289. The next prime is 2145661012321. The reversal of 2145661012300 is 32101665412.

It is a happy number.

It is a super-2 number, since 2×2145661012300² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388633540 + ... + 388639060.

It is an arithmetic number, because the mean of its divisors is an integer number (35229255600).

Almost surely, 2^{2145661012300} is an apocalyptic number.

2145661012300 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 2145661012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2536506403200).

2145661012300 is an abundant number, since it is smaller than the sum of its proper divisors (2927351794100).

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

2145661012300 is a wasteful number, since it uses less digits than its factorization.

2145661012300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8996 (or 8989 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

Adding to 2145661012300 its reverse (32101665412), we get a palindrome (2177762677712).

The spelling of 2145661012300 in words is "two trillion, one hundred forty-five billion, six hundred sixty-one million, twelve thousand, three hundred".