125510004100 has 144 divisors (see below), whose sum is σ = 306967102848. Its totient is φ = 44195880960.

The previous prime is 125510004013. The next prime is 125510004119. The reversal of 125510004100 is 1400015521.

It is a super-2 number, since 2×125510004100² (a number of 23 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, 10369252 + ... + 10381348.

It is an arithmetic number, because the mean of its divisors is an integer number (2131715992).

Almost surely, 2^125510004100 is an apocalyptic number.

125510004100 is a gapful number since it is divisible by the number (10) 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 125510004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153483551424).

125510004100 is an abundant number, since it is smaller than the sum of its proper divisors (181457098748).

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

125510004100 is a wasteful number, since it uses less digits than its factorization.

125510004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12494 (or 12487 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 125510004100 its reverse (1400015521), we get a palindrome (126910019621).

The spelling of 125510004100 in words is "one hundred twenty-five billion, five hundred ten million, four thousand, one hundred".