2125301102100 has 432 divisors, whose sum is σ = 7533294088320. Its totient is φ = 496435430400.

The previous prime is 2125301102087. The next prime is 2125301102101. The reversal of 2125301102100 is 12011035212.

2125301102100 is a `hidden beast` number, since 2 + 1 + 2 + 530 + 110 + 21 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125301102101) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144403942 + ... + 144418658.

It is an arithmetic number, because the mean of its divisors is an integer number (17438180760).

Almost surely, 2^{2125301102100} is an apocalyptic number.

2125301102100 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 2125301102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3766647044160).

2125301102100 is an abundant number, since it is smaller than the sum of its proper divisors (5407992986220).

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

2125301102100 is a wasteful number, since it uses less digits than its factorization.

2125301102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15280 (or 15270 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 2125301102100 its reverse (12011035212), we get a palindrome (2137312137312).

The spelling of 2125301102100 in words is "two trillion, one hundred twenty-five billion, three hundred one million, one hundred two thousand, one hundred".