100221201012100 has 54 divisors (see below), whose sum is σ = 252986945995770. Its totient is φ = 34361554631040.

The previous prime is 100221201012091. The next prime is 100221201012143. The reversal of 100221201012100 is 1210102122001.

It can be written as a sum of positive squares in 3 ways, for example, as 7076195852544 + 93145005159556 = 2660112^2 + 9651166^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 10226648265 + ... + 10226658064.

Almost surely, 2^{100221201012100} is an apocalyptic number.

100221201012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221201012100 is an abundant number, since it is smaller than the sum of its proper divisors (152765744983670).

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

100221201012100 is a wasteful number, since it uses less digits than its factorization.

100221201012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20453306357 (or 20453306343 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100221201012100 its reverse (1210102122001), we get a palindrome (101431303134101).

The spelling of 100221201012100 in words is "one hundred trillion, two hundred twenty-one billion, two hundred one million, twelve thousand, one hundred".