145124125020100 has 36 divisors (see below), whose sum is σ = 316501860640000. Its totient is φ = 57757943216160.

The previous prime is 145124125020023. The next prime is 145124125020101. The reversal of 145124125020100 is 1020521421541.

It is a super-2 number, since 2×145124125020100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145124125020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3646314900 + ... + 3646354699.

Almost surely, 2^{145124125020100} is an apocalyptic number.

145124125020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145124125020100 is an abundant number, since it is smaller than the sum of its proper divisors (171377735619900).

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

145124125020100 is a wasteful number, since it uses less digits than its factorization.

145124125020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7292669812 (or 7292669805 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

Adding to 145124125020100 its reverse (1020521421541), we get a palindrome (146144646441641).

The spelling of 145124125020100 in words is "one hundred forty-five trillion, one hundred twenty-four billion, one hundred twenty-five million, twenty thousand, one hundred".