1020132124100 has 18 divisors (see below), whose sum is σ = 2213686709514. Its totient is φ = 408052849600.

The previous prime is 1020132124057. The next prime is 1020132124163. The reversal of 1020132124100 is 14212310201.

1020132124100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 171861651844 + 848270472256 = 414562^2 + 921016^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5100660521 + ... + 5100660720.

It is an arithmetic number, because the mean of its divisors is an integer number (122982594973).

Almost surely, 2^{1020132124100} is an apocalyptic number.

1020132124100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020132124100 is an abundant number, since it is smaller than the sum of its proper divisors (1193554585414).

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

1020132124100 is a wasteful number, since it uses less digits than its factorization.

1020132124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10201321255 (or 10201321248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 1020132124100 its reverse (14212310201), we get a palindrome (1034344434301).

The spelling of 1020132124100 in words is "one trillion, twenty billion, one hundred thirty-two million, one hundred twenty-four thousand, one hundred".