100514021020 has 96 divisors (see below), whose sum is σ = 244810137600. Its totient is φ = 33952898304.

The previous prime is 100514021009. The next prime is 100514021033. The reversal of 100514021020 is 20120415001.

It is a junction number, because it is equal to n+sod(n) for n = 100514020985 and 100514021003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5288254 + ... + 5307226.

It is an arithmetic number, because the mean of its divisors is an integer number (2550105600).

Almost surely, 2^100514021020 is an apocalyptic number.

100514021020 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 100514021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122405068800).

100514021020 is an abundant number, since it is smaller than the sum of its proper divisors (144296116580).

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

100514021020 is a wasteful number, since it uses less digits than its factorization.

100514021020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19547 (or 19545 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 100514021020 its reverse (20120415001), we get a palindrome (120634436021).

The spelling of 100514021020 in words is "one hundred billion, five hundred fourteen million, twenty-one thousand, twenty".