100022200520 has 64 divisors (see below), whose sum is σ = 245795774400. Its totient is φ = 36329230080.

The previous prime is 100022200519. The next prime is 100022200589. The reversal of 100022200520 is 25002220001.

It is a junction number, because it is equal to n+sod(n) for n = 100022200495 and 100022200504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 245642 + ... + 510278.

It is an arithmetic number, because the mean of its divisors is an integer number (3840558975).

Almost surely, 2^100022200520 is an apocalyptic number.

100022200520 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 100022200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122897887200).

100022200520 is an abundant number, since it is smaller than the sum of its proper divisors (145773573880).

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

100022200520 is a wasteful number, since it uses less digits than its factorization.

100022200520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265518 (or 265514 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 14.

Adding to 100022200520 its reverse (25002220001), we get a palindrome (125024420521).

The spelling of 100022200520 in words is "one hundred billion, twenty-two million, two hundred thousand, five hundred twenty".