10100220010100 has 72 divisors (see below), whose sum is σ = 24129333228000. Its totient is φ = 3639111753600.

The previous prime is 10100220010091. The next prime is 10100220010129. The reversal of 10100220010100 is 101002200101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41999450 + ... + 42239249.

Almost surely, 2^{10100220010100} is an apocalyptic number.

10100220010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100220010100 is an abundant number, since it is smaller than the sum of its proper divisors (14029113217900).

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

10100220010100 is a wasteful number, since it uses less digits than its factorization.

10100220010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84238833 (or 84238826 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10100220010100 its reverse (101002200101), we get a palindrome (10201222210201).

10100220010100 divided by its reverse (101002200101) gives a square (100 = 10²).

It can be divided in two parts, 101002 and 20010100, that added together give a palindrome (20111102).

The spelling of 10100220010100 in words is "ten trillion, one hundred billion, two hundred twenty million, ten thousand, one hundred".